A new SAT study course is tested on 12 individuals. Pre-course and post-course scores are recorded. The following data is collected:

Pre-course score	Post-course score
960	920
1010	1100
840	880
1100	1070
1250	1320
860	860
1330	1370
790	770
990	1040
1110	1200
840	850
1200	1300

a) State the null and alternative hypotheses in terms of the appropriate parameter to test the claim that the study course improves students' SAT scores. (Use diff = post - pre.)

0: Select an answer p - p p d - ? > = < points : Select an answer - d p - p p ? < = > points

b) The level of significance is =. (Hint: The level of significance is the p-value cutoff between rejecting or failing to reject the null hypothesis.)

c) The test statistic is ? Z s T = . Use 33.33 for the mean and 49.05 for the standard deviation.

d) The p-value is .(If necessary, round your answer to four decimal places.)