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Evaluating Data Sets
I chose the Midwest data since it covers a large region giving a better understanding of consumption of energy in a vast a ...
Evaluating Data Sets
I chose the Midwest data since it covers a large region giving a better understanding of consumption of energy in a vast area. Yes, it is related to ...
Statistics Project
The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the ...
Statistics Project
The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the scatter plot to find the equation for the line of best fit.Make a scatter plot of ln y versus ln x. Use the scatter plot to find the equation for the line of best fit.Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain.Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand.Use the regression feature on your calculator to find an exponential model and a power model to represent this data.Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months
15 questions regarding Sampling, hypothesis testing, and regression
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
15 questions regarding Sampling, hypothesis testing, and regression
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.
Choose one design method from the list below. Using your example, make a list of 2 or 3 advantages and 2 or 3 disadvantages for using the method. (2 pts)
Simple random sampling
Systematic sampling
Stratified sampling
Cluster sampling
The name of each student in a class is written on a separate card. The cards are placed in a bag. Three names are picked from the bag. Identify which type of sampling is used and why. (2 pts)
A phone company obtains an alphabetical list of names of homeowners in a city. They select every 25th person from the list until a sample of 100 is obtained. They then call these 100 people to advertise their services. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
The manager of a company wants to investigate job satisfaction among its employees. One morning after a meeting, she talks to all 25 employees who attended. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects 10 schools from the district and interviews all of the teachers at the selected schools. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
Fifty-one sophomore, 42 junior, and 55 senior students are selected from classes with 516, 428, and 551 students respectively. Identify which type of sampling is used and explain your reasoning. (2 pts)
You want to investigate the workplace attitudes concerning new policies that were put into effect. You have funding and support to contact at most 100 people. Choose a design method and discuss the following:
Describe the sample design method you will use and why. (2 pts)
Specify the population and sample group. Will you include everyone who works for the company, certain departments, full or part-time employees, etc.? (2 pts)
Discuss the bias, on the part of both the researcher and participants. (2 pts)
A local newspaper wanted to gather information about house sales in the area. It distributed 25,000 electronic surveys to its readers asking questions about house sales in the past 6 months. Of the surveys sent out, 3.2% were returned. The results found that 92% of people did not sell their house in the past 6 months and 85% of people would expect a loss if they sold their house. The writer wants to use these results to conclude that the housing market is declining, and we are headed for a recession.
Explain the bias and sampling error in this study. (2 pts)
Should the writer conclude that the housing market is declining based upon this data? (2 pts)
Why or why not? (2 pts)
A homeowner is getting carpet installed. The installer is charging her for 250 square feet. She thinks this is more than the actual space being carpeted. She asks a second installer to measure the space to confirm her doubt. Write the null hypothesis Ho and the alternative hypothesis Ha. (2 pts)
Drug A is the usual treatment for depression in graduate students. Pfizer has a new drug, Drug B, that it thinks may be more effective. You have been hired to design the test program. As part of your project briefing, you decide to explain the logic of statistical testing to the people who are going to be working for you.
Write the research hypothesis and the null hypothesis. (2 pts)
Then construct a table like the one below, displaying the outcomes that would constitute Type I and Type II error. (2 pts)
Write a paragraph explaining which error would be more severe, and why. (2 pts)
Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variation from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces):
5.95
6.10
5.98
6.01
6.25
5.85
5.91
6.05
5.88
5.91
Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle?
State the hypothesis you will test. (2 pts)
Calculate the test statistic. (2 pts)
Find the P-value. (2 pts)
What is the conclusion? (2 pts)
Calculate a Z score when X = 20, μ = 17, and σ = 3.4. (2 pts)
Using a standard normal probabilities table, interpret the results for the Z score in Problem 12. (2 pts)
Your babysitter claims that she is underpaid given the current market. Her hourly wage is $12 per hour. You do some research and discover that the average wage in your area is $14 per hour with a standard deviation of 1.9. Calculate the Z score and use the table to find the standard normal probability. Based on your findings, should you give her a raise? Explain your reasoning as to why or why not. (2 pts)
Tutor O-Rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ=350 and σ=35. The 100 students who completed the tutoring program had an average score of 385 points.
Is the students’ average score of 385 points significant at the 5% and 1% levels to support Tutor O-Rama’s claim of at least a 50-point increase in the SAT score? (2 pts)
Is the Tutor O-Rama students’ average score of 385 points significantly different at the 5% and 1% levels from the average score of 350 points on the math portion of the SAT? What conclusion can you make, based on your results, about the effectiveness of Tutor O-Rama’s tutoring? (2 pts)
MA141 Grantham University Week 7 Equation of Orbit Precalculus Questions
I need help with these questions. There are 19 questions. If possible could you explain or break down how you got the answ ...
MA141 Grantham University Week 7 Equation of Orbit Precalculus Questions
I need help with these questions. There are 19 questions. If possible could you explain or break down how you got the answers.
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If showing the answer in %, have two decimal places.Answer the following problems showing your work and explaining or analyzing your results. Submit your work in a typed Microsoft Word document.A restaurant leaves a fishbowl on the counter for diners to drop their business cards. Once a month, a business card is pulled out to award one lucky diner with a free meal. Identify which type of sampling is used and why. (2 pts)A test of the effectiveness of a new curriculum could begin by dividing an area by school district, then choosing a school or set number of schools at random and sampling students from each. Identify which type of sampling is used and why. (2.5 pts)A survey about timekeeping might divide the population by time zone, then take 100 random samples per zone. Identify which type of sampling is used and why. (2.5 pts)A local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias? (2.5 pts)According to Abyss Consulting, the average age of viewers of “America’s Got Talent” is 25 years old. However, the producer of the show thinks it is higher than 25.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)A research analyst believes that average back-to-school spending is less than a trade group’s prediction of $606.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)\Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)\A study found that, in 2005, 12.5% of workers belonged to unions. Suppose a sample of 400 workers is collected in 2006 to determine whether union efforts to organize have increased union membership. The sample result show that 68 of the workers belonged to unions. State the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime.
What is the Type I error? (2.5 pts)What is the Type II error? (2.5 pts)Using a random sample of n = 36, the sample mean is x ̅ = 2.92. Suppose that the population standard deviation is σ=0.18.Is the above statistical evidence sufficient to make the following claim:μ<3at the 5% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12.Is the above statistical evidence sufficient to make the following claim:μ>295 right tail, one tail at the 1% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)
Rasmussen College Scatterplot Statistics Presentation
Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the ...
Rasmussen College Scatterplot Statistics Presentation
Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF). As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work. Concept being Studied Correlation and regression Creating scatterplots Constructing and interpreting a Hypothesis Test for Correlation using r as the test statistic You are given a spreadsheet that contains the following information: Magnitude measured on the Richter scale Depth in km Using the spreadsheet, you will answer the problems below in a PowerPoint presentation. What to Submit The PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above. Slide 1: Title slide Slide 2: Introduce your scenario and data set including the variables provided. Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot. Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values. Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain. Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation. Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units. Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario. Along with your PowerPoint presentation, you should include your Excel document which shows all calculations. Which of the following is not a correct value for a linear correlation coefficient for sample data r? Select one: a. 0.0012 b. 1/7 c. - 0.95 d. 1.0002 A correlation coefficient of -0.95 indicates what kind of relations between the two variables? Select one: a. Strong positive correlation b. Weak negative correlation c. Strong negative correlation d. No correlation Question 3 The relationship between coefficient of correlation and coefficient of determination is that: Select one: a. They are unrelated b. The coefficient of determination is the coefficient of correlation squared c. The coefficient of correlation is the coefficient of determination squared d. They are equal Question 4 When determining whether a correlation exists, it is a good idea to first explore the data by plotting a scatter plot. Select one: True False Question 5 a. The strength of correlation between the dependent and independent variables b. The difference between two variables c. Standard error of estimate d. The percent of variations in the dependent variable explained by the independent variables Question 6 Regression equations are often useful for predicting the value of one variable, given a value of the other variable. Select one: True False Question 7 Which one of the following values is not required to calculate the correlation coefficient r? Select one: a. The number of pairs of sample data n b. The sum of all values of x Σx c. The sum of all values of x2y2 Σx2y2 d. The sum of x multiplied by y Σxy Question 8 The most commonly used formula to describe the linear regression is: Select one: a. b. c. d. Question 9 Which of the following is not a name for the straight line that best fits the scatter plot of paired sample data? Select one: a. Regression line b. Line of best fit c. Scatter line d. Least-squares line Question 10 A correlation exists between two variables only when the values of one variable are very strongly associated with the values of the other variable. Select one: True False Question 11 Which of the following is not a property of the linear correlation coefficient r? Select one: a. - 1 ≤ r ≤ 1 b. x and y are interchangeable c. r is a measurement of the strength of a linear relationship d. r is not sensitive to outliers Question 12 If we determine that there is a correlation between poverty rate and crime rate in a city, then we can conclude that the increase in poverty causes people to commit more crime. Select one: True False Question 13 If the regression equation is not a good model, means there is no linear correlation, how can we use a sample to find the predicted value of y? Select one: a. Use the mean of the actual y values b. Use the mode of the actual y values c. Use the median of the actual y values d. We cannot use sample data to make any predictions Question 14 If the absolute value of correlation coefficient |r| is bigger than the critical value, which of the following conclusions is correct? Select one: a. There is no sufficient evidence to support the claim of a linear correlation. b. There is sufficient evidence to support the claim of a linear correlation. c. There may or may not be a linear correlation between the two variables. d. There is sufficient evidence to support the claim of a non-linear correlation. Question 15 When we interpret the determination coefficient r2, we are saying that Select one: a. For each unit increase in x, we will see an increase or decrease in the predicted variable y b. The sample is significantly different from the population c. There is a strong positive or negative relationship between the variables d. Some portion of the dependent variable co-varies with some portion of the independent variable Question 16 Predicted y = 20000 + 650x, where x = years of post-secondary educations and y = starting annual income. How is this regression equation interpreted? Select one: a. For every year increase in income, education increases by $650. b. For every year increase in education, expected starting income increases by $650. c. For every year increase in education, expected starting income decreases by $650. d. If x were equal to zero, income would be predicted to be $650. Question 17 When two variables are not related at all, how would you attach a quantitative measure to that situation? Select one: a. Correlation coefficient r<0 b. Correlation coefficient r≤0 c. Correlation coefficient r=0 d. No quantitative measure exists Question 18 How will you construct a hypothesis test for correlation using r as the test statistic? Select one: a. H0: ρ = 0 (no correlation); Ha: ρ ≠ 0 (there is a correlation) b. H0: r = 0 (no correlation); Ha: r ≠ 0 (there is a correlation) c. H0: ρ≠ 0 (no correlation); Ha: ρ = 0 (there is a correlation) d. H0: ρ≠ 0 (there is a correlation); Ha: ρ = 0 (no correlation) Question 19 The value of determination coefficient r2 indicates the proportion of the variation in y that is explained by the linear relationship between x and y. Select one: True False Question 20 What is a correct conclusion when | r | ≤ critical value? Select one: a. Reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation. b. Fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim of a linear correlation. c. Fail to reject the null hypothesis and conclude there is sufficient evidence to support the claim of a linear correlation. d. Reject the null hypothesis and conclude that there is no sufficient evidence to support the claim of a linear correlation.
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Most Popular Content
4 pages
Evaluating Data Sets
I chose the Midwest data since it covers a large region giving a better understanding of consumption of energy in a vast a ...
Evaluating Data Sets
I chose the Midwest data since it covers a large region giving a better understanding of consumption of energy in a vast area. Yes, it is related to ...
Statistics Project
The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the ...
Statistics Project
The data below represents the number of hits on your web site over 10 months.Make a scatter plot of ln y versus x. Use the scatter plot to find the equation for the line of best fit.Make a scatter plot of ln y versus ln x. Use the scatter plot to find the equation for the line of best fit.Based on your answers in part a and b, would an exponential model or a power model be better to represent this data? Explain.Use your answers from parts a and b to find an exponential model and a power model to represent this data by hand.Use the regression feature on your calculator to find an exponential model and a power model to represent this data.Use your answer from parts c and d to make the best estimate for the number of hits your web site will have in 12 months
15 questions regarding Sampling, hypothesis testing, and regression
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
15 questions regarding Sampling, hypothesis testing, and regression
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.
Choose one design method from the list below. Using your example, make a list of 2 or 3 advantages and 2 or 3 disadvantages for using the method. (2 pts)
Simple random sampling
Systematic sampling
Stratified sampling
Cluster sampling
The name of each student in a class is written on a separate card. The cards are placed in a bag. Three names are picked from the bag. Identify which type of sampling is used and why. (2 pts)
A phone company obtains an alphabetical list of names of homeowners in a city. They select every 25th person from the list until a sample of 100 is obtained. They then call these 100 people to advertise their services. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
The manager of a company wants to investigate job satisfaction among its employees. One morning after a meeting, she talks to all 25 employees who attended. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects 10 schools from the district and interviews all of the teachers at the selected schools. Does this sampling plan result in a random sample? What type of sample is it? Explain. (2 pts)
Fifty-one sophomore, 42 junior, and 55 senior students are selected from classes with 516, 428, and 551 students respectively. Identify which type of sampling is used and explain your reasoning. (2 pts)
You want to investigate the workplace attitudes concerning new policies that were put into effect. You have funding and support to contact at most 100 people. Choose a design method and discuss the following:
Describe the sample design method you will use and why. (2 pts)
Specify the population and sample group. Will you include everyone who works for the company, certain departments, full or part-time employees, etc.? (2 pts)
Discuss the bias, on the part of both the researcher and participants. (2 pts)
A local newspaper wanted to gather information about house sales in the area. It distributed 25,000 electronic surveys to its readers asking questions about house sales in the past 6 months. Of the surveys sent out, 3.2% were returned. The results found that 92% of people did not sell their house in the past 6 months and 85% of people would expect a loss if they sold their house. The writer wants to use these results to conclude that the housing market is declining, and we are headed for a recession.
Explain the bias and sampling error in this study. (2 pts)
Should the writer conclude that the housing market is declining based upon this data? (2 pts)
Why or why not? (2 pts)
A homeowner is getting carpet installed. The installer is charging her for 250 square feet. She thinks this is more than the actual space being carpeted. She asks a second installer to measure the space to confirm her doubt. Write the null hypothesis Ho and the alternative hypothesis Ha. (2 pts)
Drug A is the usual treatment for depression in graduate students. Pfizer has a new drug, Drug B, that it thinks may be more effective. You have been hired to design the test program. As part of your project briefing, you decide to explain the logic of statistical testing to the people who are going to be working for you.
Write the research hypothesis and the null hypothesis. (2 pts)
Then construct a table like the one below, displaying the outcomes that would constitute Type I and Type II error. (2 pts)
Write a paragraph explaining which error would be more severe, and why. (2 pts)
Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variation from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces):
5.95
6.10
5.98
6.01
6.25
5.85
5.91
6.05
5.88
5.91
Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle?
State the hypothesis you will test. (2 pts)
Calculate the test statistic. (2 pts)
Find the P-value. (2 pts)
What is the conclusion? (2 pts)
Calculate a Z score when X = 20, μ = 17, and σ = 3.4. (2 pts)
Using a standard normal probabilities table, interpret the results for the Z score in Problem 12. (2 pts)
Your babysitter claims that she is underpaid given the current market. Her hourly wage is $12 per hour. You do some research and discover that the average wage in your area is $14 per hour with a standard deviation of 1.9. Calculate the Z score and use the table to find the standard normal probability. Based on your findings, should you give her a raise? Explain your reasoning as to why or why not. (2 pts)
Tutor O-Rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ=350 and σ=35. The 100 students who completed the tutoring program had an average score of 385 points.
Is the students’ average score of 385 points significant at the 5% and 1% levels to support Tutor O-Rama’s claim of at least a 50-point increase in the SAT score? (2 pts)
Is the Tutor O-Rama students’ average score of 385 points significantly different at the 5% and 1% levels from the average score of 350 points on the math portion of the SAT? What conclusion can you make, based on your results, about the effectiveness of Tutor O-Rama’s tutoring? (2 pts)
MA141 Grantham University Week 7 Equation of Orbit Precalculus Questions
I need help with these questions. There are 19 questions. If possible could you explain or break down how you got the answ ...
MA141 Grantham University Week 7 Equation of Orbit Precalculus Questions
I need help with these questions. There are 19 questions. If possible could you explain or break down how you got the answers.
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms ...
Columbia Southern University Statistics Questionnaire
Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If showing the answer in %, have two decimal places.Answer the following problems showing your work and explaining or analyzing your results. Submit your work in a typed Microsoft Word document.A restaurant leaves a fishbowl on the counter for diners to drop their business cards. Once a month, a business card is pulled out to award one lucky diner with a free meal. Identify which type of sampling is used and why. (2 pts)A test of the effectiveness of a new curriculum could begin by dividing an area by school district, then choosing a school or set number of schools at random and sampling students from each. Identify which type of sampling is used and why. (2.5 pts)A survey about timekeeping might divide the population by time zone, then take 100 random samples per zone. Identify which type of sampling is used and why. (2.5 pts)A local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias? (2.5 pts)According to Abyss Consulting, the average age of viewers of “America’s Got Talent” is 25 years old. However, the producer of the show thinks it is higher than 25.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)A research analyst believes that average back-to-school spending is less than a trade group’s prediction of $606.
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)\Is this a right-tailed, left-tailed, or two-tailed test? (2 pts)\A study found that, in 2005, 12.5% of workers belonged to unions. Suppose a sample of 400 workers is collected in 2006 to determine whether union efforts to organize have increased union membership. The sample result show that 68 of the workers belonged to unions. State the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime.
What is the Type I error? (2.5 pts)What is the Type II error? (2.5 pts)Using a random sample of n = 36, the sample mean is x ̅ = 2.92. Suppose that the population standard deviation is σ=0.18.Is the above statistical evidence sufficient to make the following claim:μ<3at the 5% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12.Is the above statistical evidence sufficient to make the following claim:μ>295 right tail, one tail at the 1% level of significance?
Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)Calculate the standard error. (2.5 pts)Calculate the z score. (2.5 pts)Calculate the p value. (2.5 pts)What is the conclusion? (2 pts)
Rasmussen College Scatterplot Statistics Presentation
Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the ...
Rasmussen College Scatterplot Statistics Presentation
Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF). As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work. Concept being Studied Correlation and regression Creating scatterplots Constructing and interpreting a Hypothesis Test for Correlation using r as the test statistic You are given a spreadsheet that contains the following information: Magnitude measured on the Richter scale Depth in km Using the spreadsheet, you will answer the problems below in a PowerPoint presentation. What to Submit The PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above. Slide 1: Title slide Slide 2: Introduce your scenario and data set including the variables provided. Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot. Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values. Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain. Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation. Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units. Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario. Along with your PowerPoint presentation, you should include your Excel document which shows all calculations. Which of the following is not a correct value for a linear correlation coefficient for sample data r? Select one: a. 0.0012 b. 1/7 c. - 0.95 d. 1.0002 A correlation coefficient of -0.95 indicates what kind of relations between the two variables? Select one: a. Strong positive correlation b. Weak negative correlation c. Strong negative correlation d. No correlation Question 3 The relationship between coefficient of correlation and coefficient of determination is that: Select one: a. They are unrelated b. The coefficient of determination is the coefficient of correlation squared c. The coefficient of correlation is the coefficient of determination squared d. They are equal Question 4 When determining whether a correlation exists, it is a good idea to first explore the data by plotting a scatter plot. Select one: True False Question 5 a. The strength of correlation between the dependent and independent variables b. The difference between two variables c. Standard error of estimate d. The percent of variations in the dependent variable explained by the independent variables Question 6 Regression equations are often useful for predicting the value of one variable, given a value of the other variable. Select one: True False Question 7 Which one of the following values is not required to calculate the correlation coefficient r? Select one: a. The number of pairs of sample data n b. The sum of all values of x Σx c. The sum of all values of x2y2 Σx2y2 d. The sum of x multiplied by y Σxy Question 8 The most commonly used formula to describe the linear regression is: Select one: a. b. c. d. Question 9 Which of the following is not a name for the straight line that best fits the scatter plot of paired sample data? Select one: a. Regression line b. Line of best fit c. Scatter line d. Least-squares line Question 10 A correlation exists between two variables only when the values of one variable are very strongly associated with the values of the other variable. Select one: True False Question 11 Which of the following is not a property of the linear correlation coefficient r? Select one: a. - 1 ≤ r ≤ 1 b. x and y are interchangeable c. r is a measurement of the strength of a linear relationship d. r is not sensitive to outliers Question 12 If we determine that there is a correlation between poverty rate and crime rate in a city, then we can conclude that the increase in poverty causes people to commit more crime. Select one: True False Question 13 If the regression equation is not a good model, means there is no linear correlation, how can we use a sample to find the predicted value of y? Select one: a. Use the mean of the actual y values b. Use the mode of the actual y values c. Use the median of the actual y values d. We cannot use sample data to make any predictions Question 14 If the absolute value of correlation coefficient |r| is bigger than the critical value, which of the following conclusions is correct? Select one: a. There is no sufficient evidence to support the claim of a linear correlation. b. There is sufficient evidence to support the claim of a linear correlation. c. There may or may not be a linear correlation between the two variables. d. There is sufficient evidence to support the claim of a non-linear correlation. Question 15 When we interpret the determination coefficient r2, we are saying that Select one: a. For each unit increase in x, we will see an increase or decrease in the predicted variable y b. The sample is significantly different from the population c. There is a strong positive or negative relationship between the variables d. Some portion of the dependent variable co-varies with some portion of the independent variable Question 16 Predicted y = 20000 + 650x, where x = years of post-secondary educations and y = starting annual income. How is this regression equation interpreted? Select one: a. For every year increase in income, education increases by $650. b. For every year increase in education, expected starting income increases by $650. c. For every year increase in education, expected starting income decreases by $650. d. If x were equal to zero, income would be predicted to be $650. Question 17 When two variables are not related at all, how would you attach a quantitative measure to that situation? Select one: a. Correlation coefficient r<0 b. Correlation coefficient r≤0 c. Correlation coefficient r=0 d. No quantitative measure exists Question 18 How will you construct a hypothesis test for correlation using r as the test statistic? Select one: a. H0: ρ = 0 (no correlation); Ha: ρ ≠ 0 (there is a correlation) b. H0: r = 0 (no correlation); Ha: r ≠ 0 (there is a correlation) c. H0: ρ≠ 0 (no correlation); Ha: ρ = 0 (there is a correlation) d. H0: ρ≠ 0 (there is a correlation); Ha: ρ = 0 (no correlation) Question 19 The value of determination coefficient r2 indicates the proportion of the variation in y that is explained by the linear relationship between x and y. Select one: True False Question 20 What is a correct conclusion when | r | ≤ critical value? Select one: a. Reject the null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation. b. Fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim of a linear correlation. c. Fail to reject the null hypothesis and conclude there is sufficient evidence to support the claim of a linear correlation. d. Reject the null hypothesis and conclude that there is no sufficient evidence to support the claim of a linear correlation.
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