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Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since p-value a, we do not reject the null hypothesis. O Since p-value a, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to show that the relaxed time, on average, different than the jumping time. O There is not sufficient evidence to show that the relaxed time, on average, is different than the jumping time.

Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since p-value a, we do not reject the null hypothesis. O Since p-value a, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to show that the relaxed time, on average, different than the jumping time. O There is not sufficient evidence to show that the relaxed time, on average, is different than the jumping time.

MATLAB: An Introduction with Applications
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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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) 29 48 28 22 23 45 37 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.) Part (a) Part (b) Part (c) + Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) απ (ii) Decision: O reject the null hypothesis Jumping time (seconds) 20 43 29 21 25 43 35 32 do not reject the null hypothesis (iii) Reason for decision: O Since p-value <a, we do not reject the null hypothesis. Since p-value > a, we do not reject the null hypothesis. Since p-value <a, we reject the null hypothesis. O Since p-value > a, we reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to show that the relaxed time, on average, is different than the jumping time. O There is not sufficient evidence to show that the relaxed time, on average, is different than the jumping time.
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) 29 48 28 22 23 45 37 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.) Part (a) Part (b) Part (c) + Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) απ (ii) Decision: O reject the null hypothesis Jumping time (seconds) 20 43 29 21 25 43 35 32 do not reject the null hypothesis (iii) Reason for decision: O Since p-value <a, we do not reject the null hypothesis. Since p-value > a, we do not reject the null hypothesis. Since p-value <a, we reject the null hypothesis. O Since p-value > a, we reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to show that the relaxed time, on average, is different than the jumping time. O There is not sufficient evidence to show that the relaxed time, on average, is different than the jumping time.
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