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) 25 45 31 22 23 45 37 Jumping time (seconds) 21 43 26 21 25 43 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.)
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) 25 45 31 22 23 45 37 Jumping time (seconds) 21 43 26 21 25 43 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.)
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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A. Sketch a graph of the situation. Label and scale the horizontal axis and shade the region corresponding to the p-value
B. Do we "reject" or "do not reject" the null hypothesis and give the reason
C. Explain how you determined which distribution to use
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VIEWStep 2: Identifying the type of the distribution
VIEWStep 3: Computing the mean difference and standard deviation of the differeneces
VIEWStep 4: Defining the hypothesis and Computing the test statistic
VIEWStep 5: Computing the p-value and finding the conclusion
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