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Phase 5 Course Project Inferential Statistics and Analytics
This week you will submit Phase 5, the final phase, of your course project. For Phase 5 of your course project, you will w ...
Phase 5 Course Project Inferential Statistics and Analytics
This week you will submit Phase 5, the final phase, of your course project. For Phase 5 of your course project, you will want to review your instructor's feedback from your Phase 4 submission and make any necessary corrections. Remember if you have questions about the feedback to ask your instructor for assistance.Once you have made your corrections, you will make your final submission for the course project. Below is a summary of the expectations for Phase 5 of the course project:
Introduce your scenario and data set.
Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
Classify the variables in your data set.
Which variables are quantitative/qualitative?
Which variables are discrete/continuous?
Describe the level of measurement for each variable included in your data set.
Discuss the importance of the Measures of Center and the Measures of Variation.
What are the measures of center and why are they important?
What are the measures of variation and why are they important?
Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
Mean
Median
Mode
Midrange
Range
Variance
Standard Deviation
Discuss the importance of constructing confidence intervals for the population mean.
What are confidence intervals?
What is a point estimate?
What is the best point estimate for the population mean? Explain.
Why do we need confidence intervals?
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Compare and contrast your findings for the 95% and 99% confidence interval.
Did you notice any changes in your interval estimate? Explain.
What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.
Discuss the process for hypothesis testing.
Discuss the 8 steps of hypothesis testing?
When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?
Perform the hypothesis test.If you selected Option 1:
Original Claim: The average salary for all jobs in Minnesota is less than $65,000.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
If you selected Option 2:
Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
Based on your selected topic, answer the following:Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
Is the test two-tailed, left-tailed, or right-tailed? Explain.
Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
What is the value of the test-statistic? What is the P-value?
What is the critical value?
What is your decision; reject the null or do not reject the null?
Explain why you made your decision including the results for your p-value and the critical value.
State the final conclusion in non-technical terms.
Conclusion
Math 161A Statistics Probability Writing Project
1. (6 points) How large would a potential Jackpot have to be in the California Mega
Millions Lottery in order for the gam ...
Math 161A Statistics Probability Writing Project
1. (6 points) How large would a potential Jackpot have to be in the California Mega
Millions Lottery in order for the game to be fair? Present your computation and
explain your reasoning in addition to stating your final answer.
Note: A fair game is one in which in the long-run neither party (lottery company
and players) has an advantage.
2. There are a number of probability claims made in the Lottery tips. In this problem,
you will verify whether these claims are true. Consider the current rules (5/70 +
1/25) of the CA MEGA millions game.
(a) (5 points) Consider the Odd-Even Lotto Tip. Find the exact probability that
the five white numbers selected will all be even.
(b) (8 points) Consider the Sum Lotto Tip. Use the Central Limit Theorem to
approximate the probability that the sum of the five white balls will fall between
132 and 223 (both inclusive).
Discuss the appropriateness of using the Central Limit Theorem in this case. If
any of the assumptions of the theorem are violated, state what these assumtions
are and discuss how extreme (mild, moderate, severe) the violation is.
(c) (6 points) Consider the Repeat Hits Lottery Tip. It is not entirely clear, whether
this tip only concerns the white balls or also the gold MEGA ball.
i. Find the exact probability that in a given drawing at least one of the white
numbers is a repeat from the last drawing.
ii. Find the exact probability that in a given drawing at least one of the six
balls drawn (five white and one gold) is a repeat of the last drawing.
(d) (5 points) Consider the Tip that recommends to avoid previous number combinations. How long, on average (in years), will it take until a given set of MEGA
million lottery numbers (five white balls and MEGA ball) will be repeated in
a drawing? Recall, that drawings take place bi-weekly and that assume that a
year has 365 days (i.e., ignore leap years).
3. (5 points) Assume that game payouts are fixed (not pari-mutuel). Will following the
advice of the lottery expert increase your chances of winning the lottery? (This is a
multiple choice question - Yes/No answer ONLY.)
4. (10 points) Discuss the advice from the Lotto-Expert presented on page 2. Are the
statements made in the individual tips presented there generally truthful? Do they
hold for general (future) drawings, and not just for data collected in the past? Is
following this advice a good idea when playing the lottery? Explain why or why not.
Take a stand and defend your position with a good logical argument using the
methods of probability you have learned in this course. Provide as much numerical
evidence as necessary (you may cite your results from problem 2) to support your
3
Math 161A - Fall 2020 M. Bremer
claim(s). Make sure to provide a cohesive argument (using correct spelling and good
grammar).
5. (5 points) To study whether the drawing of lottery numbers for the MEGA million
game is truly random, we will consider some data. The data (which are available
in the file “Lottery Data.csv”) contains the date of the drawing, the five white balls
drawn, and the MEGA ball drawn in all 1925 drawings of the NY MEGA millions
between 5/17/2002 and 11/03/2020.
Based on the graphs that you can find on the next pages, discuss whether it is reasonable to assume that lottery numbers are drawn independently and at random
meaning that each possible number combination is equally likely to be drawn. Describe which aspect(s) of which graph(s) you base your conclusion on.
Disclaimer: The data come from the New York State (not the California State)
MEGA millions lottery. Like California, NY has changed the rules for the MEGA
millions game several times over the last couple years. For instance, on October 19,
2013, they switched from drawing 55 white balls to drawing 75 white balls. On the
same date, the number of possible MEGA balls were reduced from 45 to 15. Another
rule change occurred in October 2017.
Note: You are welcome to look at the raw data and/or create your own additional
graphs if you wish, but that’s not required for this problem.
Grading: Your work will be graded
10 pages
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three ...
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three areas of the All-Store ...
STA 3215 UIC Patients Admitted to The Hospital with Infectious Diseases Paper
If you selected Option 2 (Patients at NLEX hospital):Claim: The average age of all patients admitted to the hospital with ...
STA 3215 UIC Patients Admitted to The Hospital with Infectious Diseases Paper
If you selected Option 2 (Patients at NLEX hospital):Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age. Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.Based on your selected topic, perform and document the following steps:
Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.Is the test two-tailed, left-tailed, or right-tailed? Explain.Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.What is the value of the test-statistic? Show your calculationWhat is the P-value? Explain how you determined itWhat is the critical value? Explain how you calculated itWhat is your decision? Reject the null or do not reject the null? Explain why you made your decision including the results for your p-value and the critical value.State the final conclusion in non-technical terms.Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. You may use the Equation Editor to format your calculation steps on the Word document or attach an Excel spreadsheet clearly showing each calculation for #B4 and #B5, but your answers still need to appear on the Word document. Also, be sure to number each response in your paper using the same numbers as abovePLEASE REFER TO GRADING RUBRICInsuffcientEmergingCompetencyProficiencyMasteryCorrectnessPoints:0 (0.00%)Less than half of parts of all problems are solved correctly.Points:18.125 (12.50%)At least half of the parts of all problems are solved correctly.Points:27.1875 (18.75%)The majority of parts of all problems are solved correctly.Points:30.8125 (21.25%)Almost all parts of all problems are solved correctly.Points:36.25 (25.00%)All parts of all problems are solved correctly.Work ShownPoints:0 (0.00%)Less than half all work is shown.Points:18.125 (12.50%)At least half of all work is clearly shown.Points:27.1875 (18.75%)The majority work is clearly shown.Points:30.8125 (21.25%)Almost all work is clearly shown.Points:36.25 (25.00%)All work is clearly shown.ExplanationsPoints:0 (0.00%)Less than half of the explanations are complete and correct.Points:18.125 (12.50%)At least half of the explanations are complete and correct.Points:27.1875 (18.75%)The majority of the explanations are complete and correct.Points:30.8125 (21.25%)Almost all explanations complete and correct.Points:36.25 (25.00%)All explanations are complete and correct.FormattingPoints:0 (0.00%)Less than half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:18.125 (12.50%)At least half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:27.1875 (18.75%)The majority of equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:30.8125 (21.25%)Almost all equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:36.25 (25.00%)All equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.
ALY6015 Northeastern University Suicide Cases in 21st Century Report
I have the R code and draft report (but the professter gice me the low grade). Please According the R code write the final ...
ALY6015 Northeastern University Suicide Cases in 21st Century Report
I have the R code and draft report (but the professter gice me the low grade). Please According the R code write the final report.(analysis the results)Overview and Rationale To consolidate you theoretical knowledge into technique and skills with practical and applicable value, you are asked to analyze a data set using methods presented in this course. Report The report should include the following elements. Introduction Introduce the goals of the project, the question that needs to be answered and the methods used in your analysis. Be sure that the goals, questions and methods used fit together, meaning, questions asked reflect the goals and the methods used will answer the questions. Methods You must use at least 2 methods presented in this course. Explain why your chosen methods were appropriate and the data involved in our analysis. Be as specific as possible. Analysis (Body of report) Incorporate the R code and the outputs of the R code. Be sure to add your analysis and interpretation of the output and the significance of the results. Use graphs, figures, charts, and tables to increase visual effects of the main points you are making based on the results. Interpretation & Conclusions Use the conclusion to summarize the analysis and findings. Present an answer the question pose in the introduction and recommendations based on the data presented in the report. Format Your assignment/project should It also should follow APA format with at least 1500 words (excluding title page and references page) and references page.
6 pages
20210113170650smat 240 Module Two Assignment Template 1 .edited 1
Analysis of the Selling Price of houses and their Area Report: Analysis of the Selling Price of houses and their Area
20210113170650smat 240 Module Two Assignment Template 1 .edited 1
Analysis of the Selling Price of houses and their Area Report: Analysis of the Selling Price of houses and their Area
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Phase 5 Course Project Inferential Statistics and Analytics
This week you will submit Phase 5, the final phase, of your course project. For Phase 5 of your course project, you will w ...
Phase 5 Course Project Inferential Statistics and Analytics
This week you will submit Phase 5, the final phase, of your course project. For Phase 5 of your course project, you will want to review your instructor's feedback from your Phase 4 submission and make any necessary corrections. Remember if you have questions about the feedback to ask your instructor for assistance.Once you have made your corrections, you will make your final submission for the course project. Below is a summary of the expectations for Phase 5 of the course project:
Introduce your scenario and data set.
Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
Classify the variables in your data set.
Which variables are quantitative/qualitative?
Which variables are discrete/continuous?
Describe the level of measurement for each variable included in your data set.
Discuss the importance of the Measures of Center and the Measures of Variation.
What are the measures of center and why are they important?
What are the measures of variation and why are they important?
Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
Mean
Median
Mode
Midrange
Range
Variance
Standard Deviation
Discuss the importance of constructing confidence intervals for the population mean.
What are confidence intervals?
What is a point estimate?
What is the best point estimate for the population mean? Explain.
Why do we need confidence intervals?
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Compare and contrast your findings for the 95% and 99% confidence interval.
Did you notice any changes in your interval estimate? Explain.
What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.
Discuss the process for hypothesis testing.
Discuss the 8 steps of hypothesis testing?
When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?
Perform the hypothesis test.If you selected Option 1:
Original Claim: The average salary for all jobs in Minnesota is less than $65,000.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
If you selected Option 2:
Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
Based on your selected topic, answer the following:Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
Is the test two-tailed, left-tailed, or right-tailed? Explain.
Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
What is the value of the test-statistic? What is the P-value?
What is the critical value?
What is your decision; reject the null or do not reject the null?
Explain why you made your decision including the results for your p-value and the critical value.
State the final conclusion in non-technical terms.
Conclusion
Math 161A Statistics Probability Writing Project
1. (6 points) How large would a potential Jackpot have to be in the California Mega
Millions Lottery in order for the gam ...
Math 161A Statistics Probability Writing Project
1. (6 points) How large would a potential Jackpot have to be in the California Mega
Millions Lottery in order for the game to be fair? Present your computation and
explain your reasoning in addition to stating your final answer.
Note: A fair game is one in which in the long-run neither party (lottery company
and players) has an advantage.
2. There are a number of probability claims made in the Lottery tips. In this problem,
you will verify whether these claims are true. Consider the current rules (5/70 +
1/25) of the CA MEGA millions game.
(a) (5 points) Consider the Odd-Even Lotto Tip. Find the exact probability that
the five white numbers selected will all be even.
(b) (8 points) Consider the Sum Lotto Tip. Use the Central Limit Theorem to
approximate the probability that the sum of the five white balls will fall between
132 and 223 (both inclusive).
Discuss the appropriateness of using the Central Limit Theorem in this case. If
any of the assumptions of the theorem are violated, state what these assumtions
are and discuss how extreme (mild, moderate, severe) the violation is.
(c) (6 points) Consider the Repeat Hits Lottery Tip. It is not entirely clear, whether
this tip only concerns the white balls or also the gold MEGA ball.
i. Find the exact probability that in a given drawing at least one of the white
numbers is a repeat from the last drawing.
ii. Find the exact probability that in a given drawing at least one of the six
balls drawn (five white and one gold) is a repeat of the last drawing.
(d) (5 points) Consider the Tip that recommends to avoid previous number combinations. How long, on average (in years), will it take until a given set of MEGA
million lottery numbers (five white balls and MEGA ball) will be repeated in
a drawing? Recall, that drawings take place bi-weekly and that assume that a
year has 365 days (i.e., ignore leap years).
3. (5 points) Assume that game payouts are fixed (not pari-mutuel). Will following the
advice of the lottery expert increase your chances of winning the lottery? (This is a
multiple choice question - Yes/No answer ONLY.)
4. (10 points) Discuss the advice from the Lotto-Expert presented on page 2. Are the
statements made in the individual tips presented there generally truthful? Do they
hold for general (future) drawings, and not just for data collected in the past? Is
following this advice a good idea when playing the lottery? Explain why or why not.
Take a stand and defend your position with a good logical argument using the
methods of probability you have learned in this course. Provide as much numerical
evidence as necessary (you may cite your results from problem 2) to support your
3
Math 161A - Fall 2020 M. Bremer
claim(s). Make sure to provide a cohesive argument (using correct spelling and good
grammar).
5. (5 points) To study whether the drawing of lottery numbers for the MEGA million
game is truly random, we will consider some data. The data (which are available
in the file “Lottery Data.csv”) contains the date of the drawing, the five white balls
drawn, and the MEGA ball drawn in all 1925 drawings of the NY MEGA millions
between 5/17/2002 and 11/03/2020.
Based on the graphs that you can find on the next pages, discuss whether it is reasonable to assume that lottery numbers are drawn independently and at random
meaning that each possible number combination is equally likely to be drawn. Describe which aspect(s) of which graph(s) you base your conclusion on.
Disclaimer: The data come from the New York State (not the California State)
MEGA millions lottery. Like California, NY has changed the rules for the MEGA
millions game several times over the last couple years. For instance, on October 19,
2013, they switched from drawing 55 white balls to drawing 75 white balls. On the
same date, the number of possible MEGA balls were reduced from 45 to 15. Another
rule change occurred in October 2017.
Note: You are welcome to look at the raw data and/or create your own additional
graphs if you wish, but that’s not required for this problem.
Grading: Your work will be graded
10 pages
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three ...
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three areas of the All-Store ...
STA 3215 UIC Patients Admitted to The Hospital with Infectious Diseases Paper
If you selected Option 2 (Patients at NLEX hospital):Claim: The average age of all patients admitted to the hospital with ...
STA 3215 UIC Patients Admitted to The Hospital with Infectious Diseases Paper
If you selected Option 2 (Patients at NLEX hospital):Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age. Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.Based on your selected topic, perform and document the following steps:
Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.Is the test two-tailed, left-tailed, or right-tailed? Explain.Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.What is the value of the test-statistic? Show your calculationWhat is the P-value? Explain how you determined itWhat is the critical value? Explain how you calculated itWhat is your decision? Reject the null or do not reject the null? Explain why you made your decision including the results for your p-value and the critical value.State the final conclusion in non-technical terms.Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. You may use the Equation Editor to format your calculation steps on the Word document or attach an Excel spreadsheet clearly showing each calculation for #B4 and #B5, but your answers still need to appear on the Word document. Also, be sure to number each response in your paper using the same numbers as abovePLEASE REFER TO GRADING RUBRICInsuffcientEmergingCompetencyProficiencyMasteryCorrectnessPoints:0 (0.00%)Less than half of parts of all problems are solved correctly.Points:18.125 (12.50%)At least half of the parts of all problems are solved correctly.Points:27.1875 (18.75%)The majority of parts of all problems are solved correctly.Points:30.8125 (21.25%)Almost all parts of all problems are solved correctly.Points:36.25 (25.00%)All parts of all problems are solved correctly.Work ShownPoints:0 (0.00%)Less than half all work is shown.Points:18.125 (12.50%)At least half of all work is clearly shown.Points:27.1875 (18.75%)The majority work is clearly shown.Points:30.8125 (21.25%)Almost all work is clearly shown.Points:36.25 (25.00%)All work is clearly shown.ExplanationsPoints:0 (0.00%)Less than half of the explanations are complete and correct.Points:18.125 (12.50%)At least half of the explanations are complete and correct.Points:27.1875 (18.75%)The majority of the explanations are complete and correct.Points:30.8125 (21.25%)Almost all explanations complete and correct.Points:36.25 (25.00%)All explanations are complete and correct.FormattingPoints:0 (0.00%)Less than half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:18.125 (12.50%)At least half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:27.1875 (18.75%)The majority of equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:30.8125 (21.25%)Almost all equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:36.25 (25.00%)All equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.
ALY6015 Northeastern University Suicide Cases in 21st Century Report
I have the R code and draft report (but the professter gice me the low grade). Please According the R code write the final ...
ALY6015 Northeastern University Suicide Cases in 21st Century Report
I have the R code and draft report (but the professter gice me the low grade). Please According the R code write the final report.(analysis the results)Overview and Rationale To consolidate you theoretical knowledge into technique and skills with practical and applicable value, you are asked to analyze a data set using methods presented in this course. Report The report should include the following elements. Introduction Introduce the goals of the project, the question that needs to be answered and the methods used in your analysis. Be sure that the goals, questions and methods used fit together, meaning, questions asked reflect the goals and the methods used will answer the questions. Methods You must use at least 2 methods presented in this course. Explain why your chosen methods were appropriate and the data involved in our analysis. Be as specific as possible. Analysis (Body of report) Incorporate the R code and the outputs of the R code. Be sure to add your analysis and interpretation of the output and the significance of the results. Use graphs, figures, charts, and tables to increase visual effects of the main points you are making based on the results. Interpretation & Conclusions Use the conclusion to summarize the analysis and findings. Present an answer the question pose in the introduction and recommendations based on the data presented in the report. Format Your assignment/project should It also should follow APA format with at least 1500 words (excluding title page and references page) and references page.
6 pages
20210113170650smat 240 Module Two Assignment Template 1 .edited 1
Analysis of the Selling Price of houses and their Area Report: Analysis of the Selling Price of houses and their Area
20210113170650smat 240 Module Two Assignment Template 1 .edited 1
Analysis of the Selling Price of houses and their Area Report: Analysis of the Selling Price of houses and their Area
Earn money selling
your Study Documents