A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple-choice test about the issue in which people in general (who know nothing about the issue) usually get 40 questions correct. The number correct for these five individuals was 48, 41, 40, 51, and 50.
Using the .05 level of significance, two-tailed, do people who see the ads score differently on this test?
(a) Use the steps of hypothesis testing.
(b) Sketch the distributions involved.
(c) Explain your answer to someone who is familiar with the Z test (from Chapter 5) but is unfamiliar with t tests.