Exercises 1. How Could You Do It? Explain how you could use each sampling technique to select the sample for the study. h. stratified sample c. cluster sample d. systematic sample e. simple random sample 2. Choosing a Smuph'ug Teabm'quc c. 1|Which sampling technique in Exercise 1 would you choose to implement for the study? Why? d. Identify possihle flaws or hiases in your study. 3. Choosing a: Test To test the claim that there is a difference in the mean length of hospital stays, should you use a ztest or a ftest? Are the samples independent or dependent? Do you need to know what each population's distribution isEI Do you need to know anything about the population variances? Decisions: Putting it all together The U.S. Department of Health & Human Services (HHS) is a department of the U.S. federal government with the motto "Improving the health, safety, and well-being of America." The Centers for Medicare & Medicaid Services work within the HHS to help administer Medicare, Medicaid, and other health programs. They also gather information about health expenditure, program utilization, and other data. One area studied is the average amount of time that Medicare patients spend at short-stay hospitals. You work for the Centers for Medicare & Medicaid Services. You want to test the claim that the mean length of stay for inpatients in 2019 is different than what it was in 2000 from a random sample of inpatient records. The results for several inpatients from 2000 and 2019 are shown in the histograms. Inpatients Length of Stay (2000) X =6 $1 = 1.63 n = 28 Frequency 2 3 4 5 6 7 8 Length of stay (in days) Inpatients Length of Stay (2019) X, = 4.97 $2 = 1.77 Frequency n, =30 2 3 4 5 6 7 8 Length of stay (in days)