From the list given to you for each of the following hypothesis testing situations, indicate the test you would use and the reason (e.g. One sample test for the variance of a normal distribution)

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. Research question:Is there a differencein the students' scores following a teaching intervention?

Ho: There is no difference in the mean pre-and-post scores

Ha: There is a difference in mean pre- and post-marks

Test______________ Why___________________________

1. A researcher wants to know if a particular sample of college students is similar to or different from college students in general. His hypothesis tests whether the average of the sample(M)suggests that the students come from a population with a known mean(m)or whether it comes from a different population.

Test______________ Why___________________________

1. A researcher wants to assess whether there is a difference in the writing score means between male and female students. She obtains the following SPSS output.