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 24hours later. The result is shown in the following table.
Number of Words Recalled
Subject 1 hour later 24 hours later
1 13 13
2 18 14
3 12 11
4 15 14
5 11 11
Is there evidence to suggest that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours? 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. 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 1 hour exceeds the mean recall after 24 hours? Justify your conclusion.