A. In words, state what your random variable Xd represents.B. State the distribution used for the testC. 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 theirhypothesis at the 5% level.Relaxed time (seconds) Jumping time (seconds)25214543312622212325454337353229NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normallydistributed. (In general, you must first prove that assumption, though.)

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Answered: A. In words, state what your random…

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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Question

A. In words, state what your random variable X_d 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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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