Scenario:Does strength training increase speed? To address this question, times (in seconds) for a random sample of 35 college athletes were recorded for a 100 meter dash both before and after a rigorous six-week strength training program.

subject before after

1 12.41805 12.21307

2 12.26854 12.63454

3 12.57038 12.11179

4 12.64745 11.9713

5 12.84325 12.04386

6 13.01846 12.39572

7 13.11015 12.5098

8 12.66273 12.21341

9 12.45185 12.05355

10 13.02755 12.33162

11 13.08572 12.11253

12 12.36139 11.93749

13 13.00509 12.27925

14 12.7689 11.99535

15 12.69565 12.31777

16 12.90253 12.23208

17 13.22494 12.4387

18 12.37876 12.18222

19 13.22127 12.40138

20 13.15507 12.29398

21 13.4141 12.06631

22 12.96898 12.34169

23 12.64587 12.36577

24 13.09176 12.19082

25 13.50837 12.20819

26 12.23928 12.13164

27 12.987 12.48825

28 12.44022 12.12933

29 12.56063 12.2971

30 12.78781 12.10093

31 12.83821 12.14429

32 12.71064 12.46854

33 12.39557 12.13537

34 12.62052 12.5138

35 13.17116 12.19536

Part A

Select all of the inference procedures from the following list that might be appropriate to answer this research question.

(a) Paired t-test

(b) Wilcoxon signed-rank test

(c) Sign test

(d) Welch t-test

(e) Pooled t-test

(f) Wilcoxon rank-sum test

Part B

Assess the data conditions for the statistical procedures you are considering

Part C

Conduct an appropriate hypothesis test to determine if strength training tends to increase speed in the target population. Use a 5% level of significance.

onull and alternative hypotheses

otest statistic

oconclusion