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the domains of f(x)=1/x is x =/=0 so : Df=IR-{ 0 }
the domains of g(x)=x + 3 so is a polynome so : Dg=IR
the domains of f°g(x) = f(g(x)) = 1/(x+3) so is x + 3 =/=0 so x =/= -3 so : Df°g = IR - {-3}
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PSY 520 Grand Canyon University Ch 13 14 & 15 Null Hypothesis Statistics Exercises
PSY520 Topic 5 exercises Complete the following exercises located at the end of each chapter and put them into a Wor ...
PSY 520 Grand Canyon University Ch 13 14 & 15 Null Hypothesis Statistics Exercises
PSY520 Topic 5 exercises Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor. Show all relevant work; use the equation editor in Microsoft Word when necessary. 1.Chapter 13, numbers 13.6, 13.8, 13.9, and 13.10 2.Chapter 14, numbers 14.11, 14.12, and 14.14 3.Chapter 15, numbers 15.7, 15.8, 15.10 and 15.14
4-3 Project One Submission
CompetenciesIn this project, you will demonstrate your mastery of the following competencies:Apply statistical techniques ...
4-3 Project One Submission
CompetenciesIn this project, you will demonstrate your mastery of the following competencies:Apply statistical techniques to address research problemsPerform regression analysis to address an authentic problemOverviewThe purpose of this project is to have you complete all of the steps of a real-world linear regression research project starting with developing a research question, then completing a comprehensive statistical analysis, and ending with summarizing your research conclusions.ScenarioYou have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.DirectionsUsing the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.Note: Present your data in a clearly labeled table and using clearly labeled graphs.Specifically, include the following in your report:IntroductionDescribe the report: Give a brief description of the purpose of your report.Define the question your report is trying to answer.Explain when using linear regression is most appropriate.When using linear regression, what would you expect the scatterplot to look like?Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.Data CollectionSampling the data: Select a random sample of 50 counties.Identify your response and predictor variables.Scatterplot: Create a scatterplot of your response and predictor variables to ensure they are appropriate for developing a linear model.Data AnalysisHistogram: For your two variables, create histograms.Summary statistics: For your two variables, create a table to show the mean, median, and standard deviation.Interpret the graphs and statistics:Based on your graphs and sample statistics, interpret the center, spread, shape, and any unusual characteristic (outliers, gaps, etc.) for the two variables.Compare and contrast the shape, center, spread, and any unusual characteristic for your sample of house sales with the national population. Is your sample representative of national housing market sales?Develop Your Regression ModelScatterplot: Provide a graph of the scatterplot of the data with a line of best fit.Explain if a regression model is appropriate to develop based on your scatterplot.Discuss associations: Based on the scatterplot, discuss the association (direction, strength, form) in the context of your model.Identify any possible outliers or influential points and discuss their effect on the correlation.Discuss keeping or removing outlier data points and what impact your decision would have on your model.Find r: Find the correlation coefficient (r).Explain how the r value you calculated supports what you noticed in your scatterplot.Determine the Line of Best Fit. Clearly define your variables. Find and interpret the regression equation. Assess the strength of the model.Regression equation: Write the regression equation (i.e., line of best fit) and clearly define your variables.Interpret regression equation: Interpret the slope and intercept in context.Strength of the equation: Provide and interpret R-squared.Determine the strength of the linear regression equation you developed.Use regression equation to make predictions: Use your regression equation to predict how much you should list your home for based on the square footage of your home.ConclusionsSummarize findings: In one paragraph, summarize your findings in clear and concise plain language for the CEO to understand. Summarize your results.Did you see the results you expected, or was anything different from your expectations or experiences?What changes could support different results, or help to solve a different problem?Provide at least one question that would be interesting for follow-up research.
statistics
Week 4 Project - STAT 3001 Student Name: <Type your name here> Date:<Enter the date on which you began workin ...
statistics
Week 4 Project - STAT 3001 Student Name: <Type your name here> Date:<Enter the date on which you began working on this assignment.> Instructions:To complete this project, you will need the following materials: STAT DISK User Manual (found in the classroom in Doc Sharing)Access to the internet to download the Stat Disk program. Part I.Analyze Data Instructions Answers Open the file Passive and Active Smoke using menu option Datasets and then Elementary Stats, 13th Edition.This file contains some information on the continine levels in smokers, nonsmokers exposed to smoke (ETS), and nonsmokers not exposed to smoke (No ETS). How many observations are there in this file?What would you expect to find relative to the continine level in the groups? Part II. Descriptive Statistics 3-6 Generate descriptive statistics for No ETS, Smokers and ETS groups and complete the following table.Round mean and standard deviation to 3 decimal places. Variable Sample Mean Sample Standard Deviation Sample Size No ETS Smokers ETS 7. Did you get the results you expected here?Explain why. 8. Which of the three groups experienced the MOST variation? How do you know? Part III. Confidence Intervals 9. Generate a 90% interval for the mean of the No ETS group. Paste your results here. 10. Generate a 90% interval for the mean of the Smoker group. Paste your results here. 11. Generate a 90% interval for the mean of the ETS group. Paste your results here 12. Create a graph below by illustrating all three confidence intervals on one graph using the tools in your word processor (example below).Stat Disk cannot do this for you. Create your graph and turn the font red.For this process, I just used the dashes and wrote a scale below the axes. Here is an example, but it is not based on the data you are analyzing: Case 114---------------------42 Case 235-------------------------70 ________________________________________ 0204060 Your Solution: 13. Based on the confidence intervals shown above, what conclusion can you draw about whether the exposure to smoke leads to higher continine levels? Why? Part IV. Hypothesis Testing 14. Your researcher’s claim is that the continine level for the ETS group is not equal to zero. Compose a hypothesis test with a level of significance of .05 to test your claim. Step 1.Determine parameter of interest and compose null and alternative hypotheses. Step 2.Determine the sample mean, sample standard deviation, and sample size.[Hint:You recorded these previously in Part II, #3-6] Step 3.Determine the likelihood that the population mean is actually not equal to 0 by completing a Hypothesis Test: One Mean in STAT DISK.Use significance of 0.05.Remember to change the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste your results here. Step 4.State your conclusion.Your conclusion statement should include the p-value and level of significance to phrase your conclusion. 15. For your second hypothesis test, your researcher’s claim is that the continine level in the NO ETS group is greater than zero.Perform a hypothesis test using a significance level of .01 to test your claim. Step 1.Determine parameter of interest and compose null and alternative hypotheses. Step 2.Determine the sample mean, sample standard deviation, and sample size.[Hint:You recorded these previously in Part II, #3-6] Step 3.Determine the likelihood that the population mean is actually greater than 0 by completing a Hypothesis Test: One Mean in STAT DISK.Use significance of 0.01.Remember to change the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste results here. Step 4.State your conclusion. Your conclusion statement should include the p-value and level of significance to phrase your conclusion. 16. Answer the following questions based on the above hypothesis test. a.What is the p-value for the hypothesis test in #15 and what does it represent? (Look at page 383 in the text) b.Given that your data, hypotheses, and p-value do not change, what would need to be different in order for you to REJECT the null hypothesis? (What do you compare to make your rejection decision?) Submit your final draft of your Word file by going to Week 4, Project, and follow the directions under Week 4 Assignment 2.Please use the naming convention "WK4Assgn2+first initial+last name" as the Submission Title.
Module 4 homework
Problem Set 4.41. Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3. a ...
Module 4 homework
Problem Set 4.41. Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3. a) What is the probability that X will be less than 13?- Click here to enter answer - b) What is the probability that X will be less than 8?- Click here to enter answer - c) What is the probability that X will be greater than 12?- Click here to enter answer - d) What is the probability that X will be greater than 6?- Click here to enter answer -e) What is the probability that X will be between than 3 and 17?- Click here to enter answer - f) What is the probability that X will be between than 8 and 14?- Click here to enter answer - 2. A farmer harvests several heads of iceberg lettuce. The weight of the heads of lettuce are normally distributed with a mean weight of 2.2 pounds and a standard deviation of .55 pounds. If you choose a head of lettuce at random, what is the probability that the head you chose will weigh:a) Less than 2 pounds?- Click here to enter answer - b) Greater than 2.5 pounds?- Click here to enter answer - c) Between 1.8 pounds and 2.7 pounds?- Click here to enter answer - 3. Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113.a) What percentage of the scores are less than 450?- Click here to enter answer - b) What percentage of the scores are greater than 500?- Click here to enter answer - c) What percentage of the scores are between 550 and 600?- Click here to enter answer - d) Suppose you pick an individual history test at random, what is the probability that the score on the test is between 575 and 625?- Click here to enter answer - 4. The time that people stand in the waiting line at a particular fast food restaurant is normally distributed with a mean time of 130 seconds and a standard deviation of 25 seconds. If you go to that fast food restaurant, what is the probability that you will stand in the waiting line for:a) More than 150 seconds?- Click here to enter answer - b) Less than 120 seconds?- Click here to enter answer - c) Between 110 seconds and 150 seconds?- Click here to enter answer - . A convenience store sells between five and twelve boxes of sugar each week. The probabilities are given as follows:Find the number of boxes of sugar that the convenience store should expect to sell per week. Also, find the variance and standard deviation of this data.- Click here to enter answer - 2. A barber expects to get between zero and six customers per hour in his barber shop. The probability of these is given as follows:Find the number of expected customers that the barber will get per hour. Also, find the variance and standard deviation of this data.- Click here to enter answer - 3. A company makes bulbs for Christmas trees. Unfortunately, the boxes that contain the bulbs have been mishandled and many of the boxes contain one or more broken bulbs. The number of broken bulbs per box, along with the related probabilities are given as:Find the expected number of broken bulbs per box.- Click here to enter answer - Problem Set 4.21 . A basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability that she will make exactly 7 shots.- Click here to enter answer - 2. A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that he will get exactly 4 hits?- Click here to enter answer - 3. A large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the light bulbs are defective (the other light bulbs are good). Suppose that you choose 6 light bulbs at random. What is the probability that 2 or less of the bulbs are defective.- Click here to enter answer - 4. Your factory has seven safety systems. During an emergency, the probability of any one of the safety systems failing is .06. The factory will be in danger if more than four safety systems fail. What is the probability of your factory being in danger during an emergency?- Click here to enter answer - Problem Set 4.3(Remember: You may find the standard normal table by clicking Help Files on the upper right of this page)1. - Click here to enter answer - 2. - Click here to enter answer -3. - Click here to enter answer -4. - Click here to enter answer -5. - Click here to enter answer -6. - Click here to enter answer -7. - Click here to enter answer -8. - Click here to enter answer -9. - Click here to enter answer -10. - Click here to enter answer -11. - Click here to enter answer -12. - Click here to enter answer -13. - Click here to enter answer -14. - Click here to enter answer -
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PSY 520 Grand Canyon University Ch 13 14 & 15 Null Hypothesis Statistics Exercises
PSY520 Topic 5 exercises Complete the following exercises located at the end of each chapter and put them into a Wor ...
PSY 520 Grand Canyon University Ch 13 14 & 15 Null Hypothesis Statistics Exercises
PSY520 Topic 5 exercises Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor. Show all relevant work; use the equation editor in Microsoft Word when necessary. 1.Chapter 13, numbers 13.6, 13.8, 13.9, and 13.10 2.Chapter 14, numbers 14.11, 14.12, and 14.14 3.Chapter 15, numbers 15.7, 15.8, 15.10 and 15.14
4-3 Project One Submission
CompetenciesIn this project, you will demonstrate your mastery of the following competencies:Apply statistical techniques ...
4-3 Project One Submission
CompetenciesIn this project, you will demonstrate your mastery of the following competencies:Apply statistical techniques to address research problemsPerform regression analysis to address an authentic problemOverviewThe purpose of this project is to have you complete all of the steps of a real-world linear regression research project starting with developing a research question, then completing a comprehensive statistical analysis, and ending with summarizing your research conclusions.ScenarioYou have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.DirectionsUsing the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.Note: Present your data in a clearly labeled table and using clearly labeled graphs.Specifically, include the following in your report:IntroductionDescribe the report: Give a brief description of the purpose of your report.Define the question your report is trying to answer.Explain when using linear regression is most appropriate.When using linear regression, what would you expect the scatterplot to look like?Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.Data CollectionSampling the data: Select a random sample of 50 counties.Identify your response and predictor variables.Scatterplot: Create a scatterplot of your response and predictor variables to ensure they are appropriate for developing a linear model.Data AnalysisHistogram: For your two variables, create histograms.Summary statistics: For your two variables, create a table to show the mean, median, and standard deviation.Interpret the graphs and statistics:Based on your graphs and sample statistics, interpret the center, spread, shape, and any unusual characteristic (outliers, gaps, etc.) for the two variables.Compare and contrast the shape, center, spread, and any unusual characteristic for your sample of house sales with the national population. Is your sample representative of national housing market sales?Develop Your Regression ModelScatterplot: Provide a graph of the scatterplot of the data with a line of best fit.Explain if a regression model is appropriate to develop based on your scatterplot.Discuss associations: Based on the scatterplot, discuss the association (direction, strength, form) in the context of your model.Identify any possible outliers or influential points and discuss their effect on the correlation.Discuss keeping or removing outlier data points and what impact your decision would have on your model.Find r: Find the correlation coefficient (r).Explain how the r value you calculated supports what you noticed in your scatterplot.Determine the Line of Best Fit. Clearly define your variables. Find and interpret the regression equation. Assess the strength of the model.Regression equation: Write the regression equation (i.e., line of best fit) and clearly define your variables.Interpret regression equation: Interpret the slope and intercept in context.Strength of the equation: Provide and interpret R-squared.Determine the strength of the linear regression equation you developed.Use regression equation to make predictions: Use your regression equation to predict how much you should list your home for based on the square footage of your home.ConclusionsSummarize findings: In one paragraph, summarize your findings in clear and concise plain language for the CEO to understand. Summarize your results.Did you see the results you expected, or was anything different from your expectations or experiences?What changes could support different results, or help to solve a different problem?Provide at least one question that would be interesting for follow-up research.
statistics
Week 4 Project - STAT 3001 Student Name: <Type your name here> Date:<Enter the date on which you began workin ...
statistics
Week 4 Project - STAT 3001 Student Name: <Type your name here> Date:<Enter the date on which you began working on this assignment.> Instructions:To complete this project, you will need the following materials: STAT DISK User Manual (found in the classroom in Doc Sharing)Access to the internet to download the Stat Disk program. Part I.Analyze Data Instructions Answers Open the file Passive and Active Smoke using menu option Datasets and then Elementary Stats, 13th Edition.This file contains some information on the continine levels in smokers, nonsmokers exposed to smoke (ETS), and nonsmokers not exposed to smoke (No ETS). How many observations are there in this file?What would you expect to find relative to the continine level in the groups? Part II. Descriptive Statistics 3-6 Generate descriptive statistics for No ETS, Smokers and ETS groups and complete the following table.Round mean and standard deviation to 3 decimal places. Variable Sample Mean Sample Standard Deviation Sample Size No ETS Smokers ETS 7. Did you get the results you expected here?Explain why. 8. Which of the three groups experienced the MOST variation? How do you know? Part III. Confidence Intervals 9. Generate a 90% interval for the mean of the No ETS group. Paste your results here. 10. Generate a 90% interval for the mean of the Smoker group. Paste your results here. 11. Generate a 90% interval for the mean of the ETS group. Paste your results here 12. Create a graph below by illustrating all three confidence intervals on one graph using the tools in your word processor (example below).Stat Disk cannot do this for you. Create your graph and turn the font red.For this process, I just used the dashes and wrote a scale below the axes. Here is an example, but it is not based on the data you are analyzing: Case 114---------------------42 Case 235-------------------------70 ________________________________________ 0204060 Your Solution: 13. Based on the confidence intervals shown above, what conclusion can you draw about whether the exposure to smoke leads to higher continine levels? Why? Part IV. Hypothesis Testing 14. Your researcher’s claim is that the continine level for the ETS group is not equal to zero. Compose a hypothesis test with a level of significance of .05 to test your claim. Step 1.Determine parameter of interest and compose null and alternative hypotheses. Step 2.Determine the sample mean, sample standard deviation, and sample size.[Hint:You recorded these previously in Part II, #3-6] Step 3.Determine the likelihood that the population mean is actually not equal to 0 by completing a Hypothesis Test: One Mean in STAT DISK.Use significance of 0.05.Remember to change the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste your results here. Step 4.State your conclusion.Your conclusion statement should include the p-value and level of significance to phrase your conclusion. 15. For your second hypothesis test, your researcher’s claim is that the continine level in the NO ETS group is greater than zero.Perform a hypothesis test using a significance level of .01 to test your claim. Step 1.Determine parameter of interest and compose null and alternative hypotheses. Step 2.Determine the sample mean, sample standard deviation, and sample size.[Hint:You recorded these previously in Part II, #3-6] Step 3.Determine the likelihood that the population mean is actually greater than 0 by completing a Hypothesis Test: One Mean in STAT DISK.Use significance of 0.01.Remember to change the pulldown option in Stat Disk to agree with the alternate hypothesis. Paste results here. Step 4.State your conclusion. Your conclusion statement should include the p-value and level of significance to phrase your conclusion. 16. Answer the following questions based on the above hypothesis test. a.What is the p-value for the hypothesis test in #15 and what does it represent? (Look at page 383 in the text) b.Given that your data, hypotheses, and p-value do not change, what would need to be different in order for you to REJECT the null hypothesis? (What do you compare to make your rejection decision?) Submit your final draft of your Word file by going to Week 4, Project, and follow the directions under Week 4 Assignment 2.Please use the naming convention "WK4Assgn2+first initial+last name" as the Submission Title.
Module 4 homework
Problem Set 4.41. Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3. a ...
Module 4 homework
Problem Set 4.41. Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3. a) What is the probability that X will be less than 13?- Click here to enter answer - b) What is the probability that X will be less than 8?- Click here to enter answer - c) What is the probability that X will be greater than 12?- Click here to enter answer - d) What is the probability that X will be greater than 6?- Click here to enter answer -e) What is the probability that X will be between than 3 and 17?- Click here to enter answer - f) What is the probability that X will be between than 8 and 14?- Click here to enter answer - 2. A farmer harvests several heads of iceberg lettuce. The weight of the heads of lettuce are normally distributed with a mean weight of 2.2 pounds and a standard deviation of .55 pounds. If you choose a head of lettuce at random, what is the probability that the head you chose will weigh:a) Less than 2 pounds?- Click here to enter answer - b) Greater than 2.5 pounds?- Click here to enter answer - c) Between 1.8 pounds and 2.7 pounds?- Click here to enter answer - 3. Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113.a) What percentage of the scores are less than 450?- Click here to enter answer - b) What percentage of the scores are greater than 500?- Click here to enter answer - c) What percentage of the scores are between 550 and 600?- Click here to enter answer - d) Suppose you pick an individual history test at random, what is the probability that the score on the test is between 575 and 625?- Click here to enter answer - 4. The time that people stand in the waiting line at a particular fast food restaurant is normally distributed with a mean time of 130 seconds and a standard deviation of 25 seconds. If you go to that fast food restaurant, what is the probability that you will stand in the waiting line for:a) More than 150 seconds?- Click here to enter answer - b) Less than 120 seconds?- Click here to enter answer - c) Between 110 seconds and 150 seconds?- Click here to enter answer - . A convenience store sells between five and twelve boxes of sugar each week. The probabilities are given as follows:Find the number of boxes of sugar that the convenience store should expect to sell per week. Also, find the variance and standard deviation of this data.- Click here to enter answer - 2. A barber expects to get between zero and six customers per hour in his barber shop. The probability of these is given as follows:Find the number of expected customers that the barber will get per hour. Also, find the variance and standard deviation of this data.- Click here to enter answer - 3. A company makes bulbs for Christmas trees. Unfortunately, the boxes that contain the bulbs have been mishandled and many of the boxes contain one or more broken bulbs. The number of broken bulbs per box, along with the related probabilities are given as:Find the expected number of broken bulbs per box.- Click here to enter answer - Problem Set 4.21 . A basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability that she will make exactly 7 shots.- Click here to enter answer - 2. A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that he will get exactly 4 hits?- Click here to enter answer - 3. A large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the light bulbs are defective (the other light bulbs are good). Suppose that you choose 6 light bulbs at random. What is the probability that 2 or less of the bulbs are defective.- Click here to enter answer - 4. Your factory has seven safety systems. During an emergency, the probability of any one of the safety systems failing is .06. The factory will be in danger if more than four safety systems fail. What is the probability of your factory being in danger during an emergency?- Click here to enter answer - Problem Set 4.3(Remember: You may find the standard normal table by clicking Help Files on the upper right of this page)1. - Click here to enter answer - 2. - Click here to enter answer -3. - Click here to enter answer -4. - Click here to enter answer -5. - Click here to enter answer -6. - Click here to enter answer -7. - Click here to enter answer -8. - Click here to enter answer -9. - Click here to enter answer -10. - Click here to enter answer -11. - Click here to enter answer -12. - Click here to enter answer -13. - Click here to enter answer -14. - Click here to enter answer -
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