Question

From the list given to you for each of the following hypothesis testing situations, indicate the test you would use and the reason

1. One sample z test for the mean of a normal distribution with known variance (Test 1)
2. One Sample T Test for the Mean of a Normal Distribution with unknown Variance (Test 2)
3. The paired t-test (Test 3)
4. Two sample t-test for independent samples with unequal variances (Test 4)
5. Two sample t-test for independent samples with equal variances (Test 5)

1. Researchers are interested in studying the relationship between oral contraceptive (OC) use and blood pressure in women. They design a longitudinal study where a group of non-pregnant, premenopausal women of childbearing age who are not currently OC users are identified and their blood pressure is measured. In a year these women are rescreened to ascertain a subgroup who have remained non-pregnant throughout the year and have become OC users. This subgroup becomes the study population. The researchers measure the blood pressure of the study population at the follow-up visit and compare the values to the baseline values to determine the difference between blood pressure levels of when they were using the pill at follow-up and when they were not using the pill at baseline.

Answer 1

Here the paired t test is applicable. Since the samples are dependent even one can say sampling unit is same.