Problem: Consider two samples Sample A: {1, 7, 8, 10, 11, 19} and Sample B: {1, 3, 5, 7, 8, 10, 12, 14, 18}.

1. Compute the arithmetic mean, geometric mean, median, variance, standard deviation, skewness, maximum, minimum, inter-quartile range, 90th percentile, 75th percentile, 95% confidence interval for population mean, 90% confidence interval for population mean, and 95% confidence interval for population mean for Sample A.
2. Compute the arithmetic mean, geometric mean, median, variance, standard deviation, skewness, maximum, minimum, inter-quartile range, 90th percentile, 75th percentile, 95% confidence interval for population mean, 90% confidence interval for population mean, and 95% confidence interval for population mean for Sample B.
3. Test the hypothesis that the populations from which the two samples have been drawn have the same mean. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.
4. Test the hypothesis that the populations from which the two samples have been drawn have means whose difference is no more than 3. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.
5. Test the hypothesis that the populations from which the two samples have been drawn have means whose difference is no less than 4. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.

Problem: Consider two samples Sample A: {2,3, 1, 5, 7, 9, 11, 12, 17} and Sample B: {2, 2, 3, 4, 1, 5, 6, 10, 9, 11, 2, 7, 9}.

1. Compute the arithmetic mean, geometric mean, median, variance, standard deviation, skewness, maximum, minimum, inter-quartile range, 90th percentile, 75th percentile, 95% confidence interval for population mean, 90% confidence interval for population mean, and 95% confidence interval for population mean for Sample A.
2. Compute the arithmetic mean, geometric mean, median, variance, standard deviation, skewness, maximum, minimum, inter-quartile range, 90th percentile, 75th percentile, 95% confidence interval for population mean, 90% confidence interval for population mean, and 95% confidence interval for population mean for Sample B.
3. Test the hypothesis that the populations from which the two samples have been drawn have the same mean. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.
4. Test the hypothesis that the populations from which the two samples have been drawn have means whose difference is no more than 3. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.
5. Test the hypothesis that the populations from which the two samples have been drawn have means whose difference is no less than 4. Precisely state the hypothesis in terms of H0 and H1 and the test statistic to be used for this hypothesis test.

Problem: Consider two samples

Sample A: {18, 18, 30, 23, 25, 29, 17, 11, 24, 23} and Sample B: {15, 33, 27, 7, 17, 19, 23, 20, 45, 25, 35}.

Test the hypothesis that the two populations from which these two samples have been drawn have the same mean and same variance.

Problem: Consider two samples

Sample A: {10, 21, 30, 29, 29, 30, 27, 11, 29, 29} and Sample B: {11, 13, 14, 22, 21, 17, 24, 29, 31, 26, 11}.

Test the hypothesis that the two populations from which these two samples have been drawn have the same mean and same variance.

Problem: Consider two samples

Sample A: {71, 71, 92, 73, 85, 75, 99, 78, 85, 85} and Sample B: {88, 86, 92, 98, 76, 98, 75, 88, 92, 85, 88}.

Test the hypothesis that the two populations from which these two samples have been drawn have the same mean and same variance.

5.2. Answer the Data Analysis Questions Using the Excel File

Note: Do the data analysis in the Microsoft Excel file and write your final answers in the Microsoft Word submission file.

1. Make a pie chart capturing the distribution of COVID-19 cases in various census regions.
2. Make a pie chart capturing the distribution of COVID-19 deaths in various census regions.
3. Make a pie chart capturing the distribution of COVID-19 cases in various census divisions.
4. Make a pie chart capturing the distribution of COVID-19 deaths in various census divisions.
5. Make a pie chart capturing the distribution of COVID-19 tests in various census divisions.
6. Make a pie chart capturing the distribution of COVID-19 tests in various census divisions.
7. Make a bar chart and a histogram capturing the distribution of COVID-19 cases in various census regions.
8. Make a bar chart and a histogram capturing the distribution of COVID-19 deaths in various census regions.
9. Make a bar chart and a histogram capturing the distribution of COVID-19 cases in various census divisions.
10. Make a bar chart and a histogram capturing the distribution of COVID-19 deaths in various census divisions.
11. Make a bar chart and a histogram capturing the distribution of COVID-19 tests in various census divisions.
12. Make a bar chart and a histogram capturing the distribution of COVID-19 tests in various census divisions.
13. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between Northeast and Midwest Regions.
14. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between South and Midwest Regions.
15. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between South and Northeast Regions.
16. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between South and Midwest Regions.
17. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between South and West Regions.
18. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between West and Midwest Regions.
19. Test the hypothesis that the differences in the means of COVID-19 deaths per million population is same between West and Northeast Regions.
20. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between Northeast and Midwest Regions.
21. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between South and Midwest Regions.
22. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between South and Northeast Regions.
23. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between South and Midwest Regions.
24. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between South and West Regions.
25. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between West and Midwest Regions.
26. Test the hypothesis that the difference in the variances of COVID-19 deaths per million population is same between West and Northeast Regions.
27. Check the hypothesis that means of COVID-19 deaths per million population is same between
    all regions.
28. Check the hypothesis that means of COVID-19 cases per million population is same between all regions.
29. Check the hypothesis that means of COVID-19 tests per million population is same between all regions.
30. Write a short essay (no more than 2 pages) describing the differences in COVID-19 cases, deaths, and deaths across regions. How difference are they. Is the pandemic affecting all parts of the country equally? What does the data say? How do the statistical tests help you reach the conclusion that you reached? Make sure your essay is easily understandable to van intelligent reader who may not have any training in statistics and quantitative methods. Feel free to support your arguments by summary tables, charts, graphs, etc.

NOTE: Assume = 0:05 for all hypothesis testing questions.

30)

How different are they? Is the pandemic affecting all parts of the country equally?

What does the data say? How do the statistical tests help you reach the conclusion that you reached? Make sure your essay is easily understandable to an intelligent reader who may not have any training in statistics and quantitative methods. Feel free to support your arguments by summary tables, charts, graphs, etc.

Price: $49.99

Solution: The downloadable solution consists of 55 pages, 5719 words and 37 charts.
Deliverable: Word Document