A. In words, state what your random variable Xd represents. B. State the distribution used for the test C. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

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A. In words, state what your random variable Xd represents.

B. State the distribution used for the test

C. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

d. What is the p-value? Explainwhat the p-value means fo this problem

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 two-minute 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 at the 5% level.
Relaxed time (seconds) Jumping time (seconds)
25
21
45
43
31
26
22
21
23
25
45
43
37
35
32
29
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally
distributed. (In general, you must first prove that assumption, though.)
Transcribed Image Text: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 two-minute 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 at the 5% level. Relaxed time (seconds) Jumping time (seconds) 25 21 45 43 31 26 22 21 23 25 45 43 37 35 32 29 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
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