At Rachel's 11" 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 girlsthought 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)29224841282922212325454337352932NOTE: 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 thatassumption, though.)O Part (a)O Part (b)O Part (c)O Part (d)State the distribution to use for the test. (Enter your answer in the form z or ty where df is the degrees of freedom.)O Part (e)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.)

At Rachel's 11th birthday party, B-girls were timed to see how long ( in seconds ) they could hold…

Answered: What is the test statistic?

Math

Statistics

What is the test statistic?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

At Rachel's 11" 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)
29
22
48
41
28
29
22
21
23
25
45
43
37
35
29
32
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.)
O Part (a)
O Part (b)
O Part (c)
O Part (d)
State the distribution to use for the test. (Enter your answer in the form z or ty where df is the degrees of freedom.)
O Part (e)
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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