In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. ...

In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later.

Is there evidence to suggest that the mean number of words recalled after 24 hours are less than the mean recall after 1 hour? Assume we want to use a 0.05 significance level to test the claim.

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the mean number of words recalled after 24 hours is less than the mean recall after 1 hour? Justify your conclusion.