Question

A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 32 patients were recorded before administering the drug and after. The average difference in cholesterol levels (after - before) was 1.8 mg/dL with a standard deviation of 7.97 mg/dL. Using this information, the calculated 99% confidence paired-t interval is (-2.066, 5.666). Which of the following is the best interpretation of this interval?

Question 11 options:

	1) We are certain the average difference in cholesterol levels between those who would take the drug and those who would not is between -2.066 and 5.666.
	2) The proportion of all patients that had a difference in cholesterol levels between those on the drug and those who are not is 99%.
	3) We are 99% confident that the difference between the average cholesterol level for those on the drug and the average cholesterol level for those not on the drug is between -2.066 and 5.666.
	4) We are 99% confident that the average difference in the cholesterol levels of the patients sampled is between -2.066 and 5.666.
	5) We are 99% confident that the average difference in cholesterol levels between those who would take the drug and those who would not is between -2.066 and 5.666.

A medical researcher wants to determine if the average hospital stay after a certain procedure is less than 14.98 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 14.98, Alternative Hypothesis: μ < 14.98. If the researcher randomly samples 25 patients that underwent the procedure and determines their average hospital stay was 14.27 days with a standard deviation of 5.204 days, what is the test statistic and p-value of this test?

Question 13 options:

	1) Test Statistic: -0.682, P-Value: 0.7492
	2) Test Statistic: -0.682, P-Value: 0.2508
	3) Test Statistic: -0.682, P-Value: 0.5016
	4) Test Statistic: 0.682, P-Value: 0.2508
	5) Test Statistic: 0.682, P-Value: 0.7492

Answer 1

11)

5)	We are 99% confident that the average difference in cholesterol levels between those who would take the drug and those who would not is between -2.066 and 5.666.

13)

2)

Test Statistic: -0.682, P-Value: 0.2508