A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. Assume quiz scores are normally distributed. The grades for each quiz are given below. Use a significance level of =0.05=0.05. Paired Two-Sample Means, Group 1 is the pre-quiz and group 2 is the post-quiz: Pre-Quiz Scores < Post-Quiz Scores. H0:H0: d=0d=0 H1:H1: dd<<00

pre-quiz	post-quiz
14	17
8	15
20	14
8	11
14	16
11	15
7	15
13	14
11	12
9	13
14	15
14	14
8	8
11	16
15	17
9	15
10	13
13	18
14	15
15	17

a. What is the test statistic? (Report answer accurate to 3 decimal places.) b. What is the p-value for this sample? (Report answer accurate to 4 decimal places.) c. The correct decision is to

1. Select an answer

2. accept the null

3. reject the null

4. fail to reject the null . d. The correct summary would be: Select an answer There is not enough evidence to support There is not enough evidence to reject There is enough evidence to reject There is enough evidence to support that the worksheet did improve the average quiz scores.