Description
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have one numeral followed by three letters followed by three numerals? (Round your answer to one decimal place.)
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Explanation & Answer
1 - 10*26*25*24*9*8*7/(26^3*10^4) = 0.5527 -> 0.6
= 0.5527 -> 0.6
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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)
Colorado Technical University Multivariate Factor Analysis
Requirements:Deliverable Length: 1-2 pagesUsing the information from Units 1, 2, and 3, Big D Incorporated will be examin ...
Colorado Technical University Multivariate Factor Analysis
Requirements:Deliverable Length: 1-2 pagesUsing the information from Units 1, 2, and 3, Big D Incorporated will be examining how multivariate techniques can serve the organization best and how they can be applied to its new client, the outdoor sporting goods customer. The Board of Directors has asked you to research and explain 3 major ways in which multivariate statistics are utilized in this scenario. In this case, be sure to justify your decision.Research using the library and the Internet to find an example of how a real company has used each of the following multivariate techniques:Factor analysisMultidimensional scalingCluster analysisThis can be considered a benchmark if you can justify how it could benefit Big D Incorporated.Write a summary to upper management explaining the following:How can each multivariate technique be utilized in Big D Incorporated, and what purpose would each serve?Which technique is your preferred method, and how is your chosen multivariate technique different from the other two techniques?What will the Board of Directors learn from your selected technique and more importantly, how will it contribute to the overall decision-making process? Ensure that your explanation is clear and concise.I need assistance with this writing assignment. Please let me know what additional details you may need. Many Thanks!
Business Statistics Assignment
Business Statistics Project Assignment
Write a minimum 4-page report explaining the results from your analysis of the ROI ...
Business Statistics Assignment
Business Statistics Project Assignment
Write a minimum 4-page report explaining the results from your analysis of the ROI of Busine ss Majors and Engineering Majors. Use your results from each week’s assignment to make this report.
This report should include:
A detailed description of the data used in this analysis – specifically explain what the data in each column represents.
A detailed explanation of any information learned about:
School Type for each major;
The Cost for each major;
The 30 Year ROI for each major;
The Annual % ROI for each major.
Explanations should be supported with the results obtained from your work in previous weeks.
Finally, answer the following questions and support your answer with your results.
Does there appear to be a particular major that gives a better ROI? Why or Why not?
Given that we are using statistical inference to make our conclusions, is it guaranteed that the major you choose that gave a better ROI for this sample will always have a better ROI than the other major? Explain your reasoning.
**Below are the questions that were answered for each assignment.Also, attached are my weeks of ROI (results from each week’s assignment) and the ROI Excel spreadsheet used for each assignment.**
Attachment 1
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadsheet.
In this data set – the ROI data set - for 2 different majors (Business and Engineering), you are given a sample of the 20 best colleges according to ROI (ROI = Return on Investment) and their ‘School Type’, ‘Cost’, ’30-Year ROI’, and ‘Annual % ROI’.
For each of the 2 majors create a pie chart using the column ‘School Type’. Comment on your results.
For each of the 2 majors create a frequency distribution and histogram using the column ‘Annual % ROI’. Group with starting at 6% (0.06), ending at 11% (0.11), and go by 0.5% (0.005).
For the histograms title your charts “Histogram Business Major: Annual % ROI” for Business majors and “Histogram Engineering Major: Annual % ROI” for Engineering Majors. Comment on your results.
Attachment 2
For each of the 2 majors calculate the mean, median, minimum, maximum, range, and standard deviation for the columns ‘Cost’ and ’30-Year ROI’.
By hand or with Excel, for each of the 2 majors calculate the probability that a college picked from the column for ‘School Type’ is ‘Private’.
By hand or with Excel, for each of the 2 majors find the probability that a college with the ‘School Type’ ‘Private’ has a ’30-Year ROI’ between $1,500,000 and $1,800,000.
Attachment 3
If we select 7 colleges from a major and then record whether they are of ‘School Type’ ‘Private’ or not, is this experiment a binomial one? Why or why not?
For each of the 2 majors determine if the ‘Annual % ROI’ appears to be normally distributed. Consider the shape of the histogram and the measures of central tendency (mean and median) to justify your results. Report on each of these with charts and calculations to justify your answers.
Attachment 4
For each of the 2 majors consider the ‘School Type’ column. Assuming the requirements are met, construct a 90% confidence interval for the proportion of the schools that are ‘Private’. Be sure to interpret your results.
For each of the 2 majors construct a 95% confidence interval for the mean of the column ‘Annual % ROI’. Be sure to interpret your results.
Attachment 5
For each of the 2 majors test the hypothesis at the 5% significance level:
The mean ‘Cost’ for a college is $160,000. Be sure to interpret your results.
For Business versus Engineering majors conduct a two sample test of the hypothesis at the 10% significance level (assume the variances are not equal):
The average ’30-Year ROI’ for Business majors is less than for Engineering Majors. Be sure to interpret your results
Attachment 6
Using the ROI data set:
For each of the two majors:
Draw the scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’.
Obtain b0 and b1 of the regression equation defined as y ? = b0 + b1X and the coefficient of determination (r2) from the Excel regression output.
Draw the fitted regression line on the scatter diagram.
Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.
Test the hypothesis:
oH0: ?1 = 0
oHa: ?1 ? 0
Write a paragraph or more on any observations you make about the regression estimates, coefficient of determination, the plots, and the results of your hypothesis tests.
Please provide original work.No plagarizing.If you have any questions please let me know.
Rasmussen College Descriptive Statistics Worksheet
Examine basic descriptive statistics, and demonstrate results using calculated values and statistical charts.InstructionsS ...
Rasmussen College Descriptive Statistics Worksheet
Examine basic descriptive statistics, and demonstrate results using calculated values and statistical charts.InstructionsScenario (information repeated for deliverable 01, 03, and 04)A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:A listing of the jobs by titleThe salary (in dollars) for each jobThe client needs the preliminary findings by the end of the day, and your boss asks you to first compute some basic statistics.Background information on the DataThe data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.What to SubmitYour boss wants you to submit the spreadsheet with the completed calculations, answers, and analysis.
need answers to these multiple choice math problems? details below
description of question below_________________________________________________________________________ ___________________ ...
need answers to these multiple choice math problems? details below
description of question below_________________________________________________________________________ ______________________________________________all of them are multiple choice questions
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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)
Colorado Technical University Multivariate Factor Analysis
Requirements:Deliverable Length: 1-2 pagesUsing the information from Units 1, 2, and 3, Big D Incorporated will be examin ...
Colorado Technical University Multivariate Factor Analysis
Requirements:Deliverable Length: 1-2 pagesUsing the information from Units 1, 2, and 3, Big D Incorporated will be examining how multivariate techniques can serve the organization best and how they can be applied to its new client, the outdoor sporting goods customer. The Board of Directors has asked you to research and explain 3 major ways in which multivariate statistics are utilized in this scenario. In this case, be sure to justify your decision.Research using the library and the Internet to find an example of how a real company has used each of the following multivariate techniques:Factor analysisMultidimensional scalingCluster analysisThis can be considered a benchmark if you can justify how it could benefit Big D Incorporated.Write a summary to upper management explaining the following:How can each multivariate technique be utilized in Big D Incorporated, and what purpose would each serve?Which technique is your preferred method, and how is your chosen multivariate technique different from the other two techniques?What will the Board of Directors learn from your selected technique and more importantly, how will it contribute to the overall decision-making process? Ensure that your explanation is clear and concise.I need assistance with this writing assignment. Please let me know what additional details you may need. Many Thanks!
Business Statistics Assignment
Business Statistics Project Assignment
Write a minimum 4-page report explaining the results from your analysis of the ROI ...
Business Statistics Assignment
Business Statistics Project Assignment
Write a minimum 4-page report explaining the results from your analysis of the ROI of Busine ss Majors and Engineering Majors. Use your results from each week’s assignment to make this report.
This report should include:
A detailed description of the data used in this analysis – specifically explain what the data in each column represents.
A detailed explanation of any information learned about:
School Type for each major;
The Cost for each major;
The 30 Year ROI for each major;
The Annual % ROI for each major.
Explanations should be supported with the results obtained from your work in previous weeks.
Finally, answer the following questions and support your answer with your results.
Does there appear to be a particular major that gives a better ROI? Why or Why not?
Given that we are using statistical inference to make our conclusions, is it guaranteed that the major you choose that gave a better ROI for this sample will always have a better ROI than the other major? Explain your reasoning.
**Below are the questions that were answered for each assignment.Also, attached are my weeks of ROI (results from each week’s assignment) and the ROI Excel spreadsheet used for each assignment.**
Attachment 1
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadsheet.
In this data set – the ROI data set - for 2 different majors (Business and Engineering), you are given a sample of the 20 best colleges according to ROI (ROI = Return on Investment) and their ‘School Type’, ‘Cost’, ’30-Year ROI’, and ‘Annual % ROI’.
For each of the 2 majors create a pie chart using the column ‘School Type’. Comment on your results.
For each of the 2 majors create a frequency distribution and histogram using the column ‘Annual % ROI’. Group with starting at 6% (0.06), ending at 11% (0.11), and go by 0.5% (0.005).
For the histograms title your charts “Histogram Business Major: Annual % ROI” for Business majors and “Histogram Engineering Major: Annual % ROI” for Engineering Majors. Comment on your results.
Attachment 2
For each of the 2 majors calculate the mean, median, minimum, maximum, range, and standard deviation for the columns ‘Cost’ and ’30-Year ROI’.
By hand or with Excel, for each of the 2 majors calculate the probability that a college picked from the column for ‘School Type’ is ‘Private’.
By hand or with Excel, for each of the 2 majors find the probability that a college with the ‘School Type’ ‘Private’ has a ’30-Year ROI’ between $1,500,000 and $1,800,000.
Attachment 3
If we select 7 colleges from a major and then record whether they are of ‘School Type’ ‘Private’ or not, is this experiment a binomial one? Why or why not?
For each of the 2 majors determine if the ‘Annual % ROI’ appears to be normally distributed. Consider the shape of the histogram and the measures of central tendency (mean and median) to justify your results. Report on each of these with charts and calculations to justify your answers.
Attachment 4
For each of the 2 majors consider the ‘School Type’ column. Assuming the requirements are met, construct a 90% confidence interval for the proportion of the schools that are ‘Private’. Be sure to interpret your results.
For each of the 2 majors construct a 95% confidence interval for the mean of the column ‘Annual % ROI’. Be sure to interpret your results.
Attachment 5
For each of the 2 majors test the hypothesis at the 5% significance level:
The mean ‘Cost’ for a college is $160,000. Be sure to interpret your results.
For Business versus Engineering majors conduct a two sample test of the hypothesis at the 10% significance level (assume the variances are not equal):
The average ’30-Year ROI’ for Business majors is less than for Engineering Majors. Be sure to interpret your results
Attachment 6
Using the ROI data set:
For each of the two majors:
Draw the scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’.
Obtain b0 and b1 of the regression equation defined as y ? = b0 + b1X and the coefficient of determination (r2) from the Excel regression output.
Draw the fitted regression line on the scatter diagram.
Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.
Test the hypothesis:
oH0: ?1 = 0
oHa: ?1 ? 0
Write a paragraph or more on any observations you make about the regression estimates, coefficient of determination, the plots, and the results of your hypothesis tests.
Please provide original work.No plagarizing.If you have any questions please let me know.
Rasmussen College Descriptive Statistics Worksheet
Examine basic descriptive statistics, and demonstrate results using calculated values and statistical charts.InstructionsS ...
Rasmussen College Descriptive Statistics Worksheet
Examine basic descriptive statistics, and demonstrate results using calculated values and statistical charts.InstructionsScenario (information repeated for deliverable 01, 03, and 04)A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:A listing of the jobs by titleThe salary (in dollars) for each jobThe client needs the preliminary findings by the end of the day, and your boss asks you to first compute some basic statistics.Background information on the DataThe data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.What to SubmitYour boss wants you to submit the spreadsheet with the completed calculations, answers, and analysis.
need answers to these multiple choice math problems? details below
description of question below_________________________________________________________________________ ___________________ ...
need answers to these multiple choice math problems? details below
description of question below_________________________________________________________________________ ______________________________________________all of them are multiple choice questions
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