3. For the problem below, use the solution sheet from Appendix E- You will need to complete steps a. through h. Submit the solution sheet to your mentor along with the Practice Exercises 4 worksheet- At Rachel's 11th birthday party: 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a 2minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis. Relaxed time [seconds]: Jumping lime {seconds} 26 21 4? 40 30 28 22 21 23 25 45 43 3? 35 29 32 Hypothesis Testing with Two Samples lClass Time: Name: a. Hg: b. H' a . c. In words, clearly state what your random variable X1 _ X2' Prl _ P12 '3" Xd represents. d. State the distribution to use for the test. e. What is the test statistic? What is the twaiue? In one to two complete sentences. explain what the p-value means for this problem. 9. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the pvalue. Figure E3 h. Indicate the correct decision ("reject\" or "do not reject\" the null hypothesis}, the reason for it, and write an appropn'ate conclusion, using complete sentences. a. Alpha: h. Decision: c. Reason for decision: (1. Conclusion: i. In complete sentences, explain how you detennined which distn'buljon to use