Description
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6
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Explanation & Answer
for critical point
-2x-2 =0
x = 2/-2
x = -1
now for maximum or minimum value, we take dervative of -2x-2
=-2
as second derivative is less than zero, so at x=-1 lies a maximum point at
x = -1 , y = -5
function has maximum value at (-1,-5)
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A consulting firm was hired to perform a survey on people living in New York City, Survey Data help
New York Survey DataInstructionsA consulting firm was hired to perform a survey on people living in New York City. T ...
A consulting firm was hired to perform a survey on people living in New York City, Survey Data help
New York Survey DataInstructionsA consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.In this exercise, some of the estimation techniques presented in the module will be applied to the New York survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here.Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent’s general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan.Repeat part (a) for μ2through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.Given the breakdown of responses for variable 6 (highest level of education), determine the point estimate, then construct the 95% confidence interval for π6= the population proportion of doctoral degrees.Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for π7 = the population proportion in the “single or other” category.Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough?Paper RequirementsMUST BE IN APA FORMAT!! Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.A. General Attitude toward Each Borough (Variables 1–5)1. Manhattan2. Brooklyn3. Queens4. The Bronx5. Staten IslandLike Very Much(5)(5)(5)(5)(5)Like(4)(4)(4)(4)(4)Neutral(3)(3)(3)(3)(3)Dislike(2)(2)(2)(2)(2)Dislike Very Much(1)(1)(1)(1)(1)B. Information about the Respondent (Variables 6–7)What is your highest level of education? (1) = Did not complete High school(2) = High school degree/GED(3) = Associate’s degree(4) = Bachelor’s degree(5) = Master’s degree(6) = Doctoral degreeMarital Status: (1) = Married (2) = Single or other
The major shopping areas in the community of Springdale include Springdale Mall, assignment help
See below for assignment. (I check for plagiarism using TurnItIn)InstructionsThe major shopping areas in the com ...
The major shopping areas in the community of Springdale include Springdale Mall, assignment help
See below for assignment. (I check for plagiarism using TurnItIn)InstructionsThe major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.In this exercise, some of the estimation techniques presented in the module will be applied to the Springfield Shopping survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.Managers associated with shopping areas like these find it useful to have point estimates regarding variables describing the characteristics and behaviors of their customers. In addition, it is helpful for them to have some idea as to the likely accuracy of these estimates. Therein lies the benefit of the techniques presented in this module and applied here.1. Item C in the description of the data collection instrument lists variables 7, 8, and 9, which represent the respondent’s general attitude toward each of the three shopping areas. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.Determine the point estimate, then construct the 95% confidence interval for μ7= the average attitude toward Springdale Mall.Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall, respectively.Given the breakdown of responses for variable 26 (sex of respondent), determine the point estimate, construct the 95% confidence interval for π26= the population proportion of males.Given the breakdown of responses for variable 28 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for π28 = the population proportion in the “single or other” category.Assume the managers have requested estimates of the mean attitudes towards each mall with a margin of error of 0.05 for each mall. If the managers want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample size be for each mall?Paper RequirementsWrite a report that uses APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.7 day
State in words your interpretation of the risk ratio given for the men, statistics assignment help
A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be can ...
State in words your interpretation of the risk ratio given for the men, statistics assignment help
A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be cancer free and their body mass index (BMI) was calculated. Body mass index is a measure of obesity that is calculated using a person’s height and weight. Subjects were separated into the following groups according to their BMI: (a) normal weight, (b) slightly overweight, (c) moderately overweight and (d) greatly overweight. 57,145 deaths from cancer occurred in the population during the follow-up period. . The following results were seen for men and women when the heaviest members of the cohort (greatly overweight) were compared to those with normal weight:Men: Risk ratio of cancer death = 1.5, 95% confidence interval = 1.1–2.1Women: Risk ratio of cancer death = 1.6, 95% confidence interval = 1.4–1.9State in words your interpretation of the risk ratio given for the men.State in words your interpretation of the risk ratio given for the women.Are these results confounded by gender?The authors stated that they controlled for confounding many risk factors using a multivariate analysis. State an alternative method that the authors could have used to control for confounding in the design or analysis. In addition, name two confounding variables that you think should be controlled using this method.
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste, statistics homework help
2a. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sampl ...
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste, statistics homework help
2a. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6-months. The mean number of cavities at their next checkup is 1.5. In the general population, the mean number of cavities at a 6-month check-up is 1.73 (0=1.12)Is this a one or two-tailed test?What are the H0 and Ha for this study?Compute Zobt-What is Zev?4a. Henry preformed a two-tailed test for an experiment in which N-24. He could not find his table of t critical values, but he remembered the tcv at df=13. He decided to compare his tobtwith this tcv. Is he more likely to make a Type I or a Type II error in this situation?6a. A researcher hypothesis that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, u=58. A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52,59,63,65,58,55,62,63,53,59,57,61,60,59.Is this a one or two-tailed test?What are the Ho and Ha for this study?Compute t-obt-What is tcv?Should Ho be rejected? What should the researcher conclude?Determine the 95% confidence interval for the population mean, based on the sample mean.8a. A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers random sample of the 20 individuals who live in California and finds that the number who exercise regularly is 31 out of 120.What is the obt?What is the df for this test?What is the cv?What conclusion should be drawn from these results?The researcher in exercise 2 decides to conduct the same study using a within-participants design to control for differences in cognitive ability. He selects a random sample of subjects and has them study different material of equal difficulty in both the music and no music conditions. The study is completely counterbalanced to control for order effects. The data appear next. As before, they are measured on an interval-ratio scale and are normally distributed; he believes that studying under quiet conditions will lead to better performance.MUSIC NO MUSIC7 76 85 76 78 98 8What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?If significant, compute and interpret the effect size.If significant, draw a graph representing the data.Determine 95% confidence interval.Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores. They randomly assign subjects to either the green or the red sauce condition. Participants indicate the tastiness of the sauce on a 10-point scale. Tastiness scores tend to be skewed. The scores are as follows.Red Sauce Green Sauce7 46 59 610 86 77 68 9What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?You notice in your introductory psychology class that women tend to sit up front, and more men sit in the back. To determine whether this difference is significant, you collect data on the seating preferences for the students in your class. The data follow. Men WomenFront of the Room 15 27Back of the Room 32 19What is the obt?What is the dffor this test?What is the cv?What conclusion should be drawn from these results?What are degrees of freedom? How are the calculated?What do inferential statistics allow you to infer?What is the General Linear Model (GLM)? Why does it matter?Compare and contrast parametric and nonparametric statistics. Why and in what types of cases would you use one over the other?Why is it important to pay attention to the assumptions of the statistical test? What are your options if your dependent variable scores are not normally distributed?
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1 ...
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1
The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.
1.How many elements are in this data set?
2.How many variables are in this data set?
3.How many observations are in this data set?
4.Name the variables and indicate whether they are categorical or quantitative.
Question 2
A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below.
1.Develop a frequency distribution and a bar chart for her grades.
2.Develop a relative frequency distribution for her grades and construct a pie chart.
Question 3
The number of hours worked per week for a sample of ten students is shown below.
1.Determine the median and explain its meaning.
2.Compute the 70th percentile and explain its meaning.
3.What is the mode of the above data? What does it signify?
Question 4
You are given the following information on Events A, B, C, and D.
1.Compute P(D).
2.Compute P(A ∩ B).
3.Compute P(A | C).
4.Compute the probability of the complement of C.
5.Are A and B mutually exclusive? Explain your answer.
6.Are A and B independent? Explain your answer.
7.Are A and C mutually exclusive? Explain your answer.
8.Are A and C independent? Explain your answer.
Question 5
1.When a particular machine is functioning properly, 80% of the items produced are non-defective.
2.If three items are examined, what is the probability that one is defective?
3.Use the binomial probability function to answer this question.
Question 6
The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
1.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
2.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
3.What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?
Question 7
A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.
1.What is the point estimate for the average weekly income of all the computer programmers in Houston?
2.What is the point estimate for the standard deviation of the population?
3.Determine a point estimate for the proportion of all programmers in Houston who are female.
Question 8
Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.
1.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
2.What is the probability that the sample mean will be at least $4?
3.What is the probability that the sample mean will be at least $5.90?
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly presents well-reasoned ideas and concepts 30
Uses proper mechanics, punctuation, sentence structure, and spelling 10
Total 100
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A consulting firm was hired to perform a survey on people living in New York City, Survey Data help
New York Survey DataInstructionsA consulting firm was hired to perform a survey on people living in New York City. T ...
A consulting firm was hired to perform a survey on people living in New York City, Survey Data help
New York Survey DataInstructionsA consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.In this exercise, some of the estimation techniques presented in the module will be applied to the New York survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here.Item A in the description of the data collection instrument lists variables 1 through 5, which represent the respondent’s general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan.Repeat part (a) for μ2through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.Given the breakdown of responses for variable 6 (highest level of education), determine the point estimate, then construct the 95% confidence interval for π6= the population proportion of doctoral degrees.Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for π7 = the population proportion in the “single or other” category.Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample sizes be for each borough?Paper RequirementsMUST BE IN APA FORMAT!! Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.A. General Attitude toward Each Borough (Variables 1–5)1. Manhattan2. Brooklyn3. Queens4. The Bronx5. Staten IslandLike Very Much(5)(5)(5)(5)(5)Like(4)(4)(4)(4)(4)Neutral(3)(3)(3)(3)(3)Dislike(2)(2)(2)(2)(2)Dislike Very Much(1)(1)(1)(1)(1)B. Information about the Respondent (Variables 6–7)What is your highest level of education? (1) = Did not complete High school(2) = High school degree/GED(3) = Associate’s degree(4) = Bachelor’s degree(5) = Master’s degree(6) = Doctoral degreeMarital Status: (1) = Married (2) = Single or other
The major shopping areas in the community of Springdale include Springdale Mall, assignment help
See below for assignment. (I check for plagiarism using TurnItIn)InstructionsThe major shopping areas in the com ...
The major shopping areas in the community of Springdale include Springdale Mall, assignment help
See below for assignment. (I check for plagiarism using TurnItIn)InstructionsThe major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING.In this exercise, some of the estimation techniques presented in the module will be applied to the Springfield Shopping survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community, and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.Managers associated with shopping areas like these find it useful to have point estimates regarding variables describing the characteristics and behaviors of their customers. In addition, it is helpful for them to have some idea as to the likely accuracy of these estimates. Therein lies the benefit of the techniques presented in this module and applied here.1. Item C in the description of the data collection instrument lists variables 7, 8, and 9, which represent the respondent’s general attitude toward each of the three shopping areas. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis they may be considered to be of the interval scale of measurement.Determine the point estimate, then construct the 95% confidence interval for μ7= the average attitude toward Springdale Mall.Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall, respectively.Given the breakdown of responses for variable 26 (sex of respondent), determine the point estimate, construct the 95% confidence interval for π26= the population proportion of males.Given the breakdown of responses for variable 28 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for π28 = the population proportion in the “single or other” category.Assume the managers have requested estimates of the mean attitudes towards each mall with a margin of error of 0.05 for each mall. If the managers want to have 95% confidence that the sample mean will fall within this margin of error, how large should the sample size be for each mall?Paper RequirementsWrite a report that uses APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body that answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response.NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report.7 day
State in words your interpretation of the risk ratio given for the men, statistics assignment help
A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be can ...
State in words your interpretation of the risk ratio given for the men, statistics assignment help
A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be cancer free and their body mass index (BMI) was calculated. Body mass index is a measure of obesity that is calculated using a person’s height and weight. Subjects were separated into the following groups according to their BMI: (a) normal weight, (b) slightly overweight, (c) moderately overweight and (d) greatly overweight. 57,145 deaths from cancer occurred in the population during the follow-up period. . The following results were seen for men and women when the heaviest members of the cohort (greatly overweight) were compared to those with normal weight:Men: Risk ratio of cancer death = 1.5, 95% confidence interval = 1.1–2.1Women: Risk ratio of cancer death = 1.6, 95% confidence interval = 1.4–1.9State in words your interpretation of the risk ratio given for the men.State in words your interpretation of the risk ratio given for the women.Are these results confounded by gender?The authors stated that they controlled for confounding many risk factors using a multivariate analysis. State an alternative method that the authors could have used to control for confounding in the design or analysis. In addition, name two confounding variables that you think should be controlled using this method.
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste, statistics homework help
2a. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sampl ...
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste, statistics homework help
2a. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6-months. The mean number of cavities at their next checkup is 1.5. In the general population, the mean number of cavities at a 6-month check-up is 1.73 (0=1.12)Is this a one or two-tailed test?What are the H0 and Ha for this study?Compute Zobt-What is Zev?4a. Henry preformed a two-tailed test for an experiment in which N-24. He could not find his table of t critical values, but he remembered the tcv at df=13. He decided to compare his tobtwith this tcv. Is he more likely to make a Type I or a Type II error in this situation?6a. A researcher hypothesis that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, u=58. A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52,59,63,65,58,55,62,63,53,59,57,61,60,59.Is this a one or two-tailed test?What are the Ho and Ha for this study?Compute t-obt-What is tcv?Should Ho be rejected? What should the researcher conclude?Determine the 95% confidence interval for the population mean, based on the sample mean.8a. A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers random sample of the 20 individuals who live in California and finds that the number who exercise regularly is 31 out of 120.What is the obt?What is the df for this test?What is the cv?What conclusion should be drawn from these results?The researcher in exercise 2 decides to conduct the same study using a within-participants design to control for differences in cognitive ability. He selects a random sample of subjects and has them study different material of equal difficulty in both the music and no music conditions. The study is completely counterbalanced to control for order effects. The data appear next. As before, they are measured on an interval-ratio scale and are normally distributed; he believes that studying under quiet conditions will lead to better performance.MUSIC NO MUSIC7 76 85 76 78 98 8What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?If significant, compute and interpret the effect size.If significant, draw a graph representing the data.Determine 95% confidence interval.Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores. They randomly assign subjects to either the green or the red sauce condition. Participants indicate the tastiness of the sauce on a 10-point scale. Tastiness scores tend to be skewed. The scores are as follows.Red Sauce Green Sauce7 46 59 610 86 77 68 9What statistical test should be used to analyze these data?Identify Ho and Ha for this study.Conduct the appropriate analysis.Should Ho be rejected? What should the researcher conclude?You notice in your introductory psychology class that women tend to sit up front, and more men sit in the back. To determine whether this difference is significant, you collect data on the seating preferences for the students in your class. The data follow. Men WomenFront of the Room 15 27Back of the Room 32 19What is the obt?What is the dffor this test?What is the cv?What conclusion should be drawn from these results?What are degrees of freedom? How are the calculated?What do inferential statistics allow you to infer?What is the General Linear Model (GLM)? Why does it matter?Compare and contrast parametric and nonparametric statistics. Why and in what types of cases would you use one over the other?Why is it important to pay attention to the assumptions of the statistical test? What are your options if your dependent variable scores are not normally distributed?
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1 ...
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1
The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.
1.How many elements are in this data set?
2.How many variables are in this data set?
3.How many observations are in this data set?
4.Name the variables and indicate whether they are categorical or quantitative.
Question 2
A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below.
1.Develop a frequency distribution and a bar chart for her grades.
2.Develop a relative frequency distribution for her grades and construct a pie chart.
Question 3
The number of hours worked per week for a sample of ten students is shown below.
1.Determine the median and explain its meaning.
2.Compute the 70th percentile and explain its meaning.
3.What is the mode of the above data? What does it signify?
Question 4
You are given the following information on Events A, B, C, and D.
1.Compute P(D).
2.Compute P(A ∩ B).
3.Compute P(A | C).
4.Compute the probability of the complement of C.
5.Are A and B mutually exclusive? Explain your answer.
6.Are A and B independent? Explain your answer.
7.Are A and C mutually exclusive? Explain your answer.
8.Are A and C independent? Explain your answer.
Question 5
1.When a particular machine is functioning properly, 80% of the items produced are non-defective.
2.If three items are examined, what is the probability that one is defective?
3.Use the binomial probability function to answer this question.
Question 6
The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
1.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
2.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
3.What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?
Question 7
A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.
1.What is the point estimate for the average weekly income of all the computer programmers in Houston?
2.What is the point estimate for the standard deviation of the population?
3.Determine a point estimate for the proportion of all programmers in Houston who are female.
Question 8
Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.
1.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
2.What is the probability that the sample mean will be at least $4?
3.What is the probability that the sample mean will be at least $5.90?
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly presents well-reasoned ideas and concepts 30
Uses proper mechanics, punctuation, sentence structure, and spelling 10
Total 100
2 pages
Solved Mth217 Wk4
Based on the Professional Development Opportunities: Full Report presentation showing a full report of the analysis of the ...
Solved Mth217 Wk4
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