Problem 1:

Please use the data set ‘ SENIC ’ in Appendix C.1 to answer the questions below. The answers should be complete with sufficient information about test procedures performance and the results obtained, as well as appropriate interpretation of the results.

1. Based on this dataset, the researchers want to know how two factors, medical school affiliation and region, are related to the length of stay of a patient in the hospital. Please identify the response variable, factor, treatments, and the experimental unit of study.
2. Obtain the treatment means plot for this study. What can you conclude from this plot?
3. Perform the test to assess whether medial school affiliation is related to the length of stay. State the null and alternative hypotheses, decision rule, and conclusion. Use level of significance of 0.05.
4. Perform the test to assess whether region is related to the length of stay. State the null and alternative hypotheses, decision rule, and conclusion. Use level of significance of 0.05.
5. Do you think whether there is an interaction effect of the two factors? Perform the test using the 0.05 significance level.
6. Is it meaningful here to interpret main factor effects here? Explain.
7. What would be the 95% confidence interval for mean length of stay for hospitals affiliated with a medical school? Interpret your results.
8. What would be the 95% confidence interval for the difference of mean length of stay between hospitals affiliated with a medical school and those not? Interpret your results.
9. What would be the differences of mean length of stay among the hospitals in different geographic region? Use a family confidence level of 95%. Interpret your results.
10. Use the proper graph(s) and test(s) to assess constant variance of the data? If needed, use significance level of 0.05.
11. Use the proper graph(s) and test(s) to assess normality of the data? If needed, use significance level of 0.05.
12. Do you think we need to perform non-parametric Rank F test? If yes, perform the test using the 0.05 significance level.
13. Do you think independence is an issue for the data here? Explain and if necessary, use appropriate graph(s) to support your answer.
14. Please use the regression approach to assess the effects of the two factors on the length of stay in a hospital. Use the 0.05 significance level.

Problem 2:

A manager needs to decide how to promote a new detergent in grocery stores. There are three promotion methods: using demo-table, sending flyers, and giving samples. And, these methods can be carried out either during weekdays or on weekends. Six stores are randomly assigned to try out. The resulted daily sales is presented in the following table:

1. How can the manager find out whether promotion methods and time of week affect sales of the new detergent? Conduct the statistical tests and explain your conclusions. Use level of significance of 0.05.
2. Do you think whether it is appropriate to assume that there is no interaction between the two factors, promotion methods and time of week? Conduct the appropriate test and explain your findings.

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Solution: The downloadable solution consists of 16 pages, 1532 words and 3 charts.
Deliverable: Word Document