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A running coach wanted to see whether runners run at a different speed after eating spaghetti the night before a race. For a 5-km race, two samples were chosen: 5 runners who had a regular dinner the night before and 10 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At α = 0.04, assuming unequal population variances, and using the Welch-Satterthwaite (i.e., exact) equation to calculate the degrees of freedom, do the data support the alternative hypothesis that runners do indeed run at a different speed after eating spaghetti?

A running coach wanted to see whether runners run at a different speed after eating spaghetti the night before a race. For a 5-km race, two samples were chosen: 5 runners who had a regular dinner the night before and 10 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At α = 0.04, assuming unequal population variances, and using the Welch-Satterthwaite (i.e., exact) equation to calculate the degrees of freedom, do the data support the alternative hypothesis that runners do indeed run at a different speed after eating spaghetti?

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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A running coach wanted to see whether runners run at a different speed after eating spaghetti the night before a race. For a 5-km race, two samples were chosen: 5 runners who had a regular dinner the night before and 10 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At α = 0.04, assuming unequal population variances, and using the Welch-Satterthwaite (i.e., exact) equation to calculate the degrees of freedom, do the data support the alternative hypothesis that runners do indeed run at a different speed after eating spaghetti?

 

A running coach wanted to see whether runners run at a different speed after eating spaghetti the night before a race. For a 5-km race, two samples were chosen: 5 runners who had a regular dinner the night before and 10 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At a = 0.04, assuming unequal population variances, and using the Welch-Satterthwaite (i.e., exact) equation to calculate the degrees of freedom, do the data support the alternative hypothesis that runners do indeed run at a different speed after eating spaghetti? Regular DinnerSpaghetti Dinner 10 Sample size Sample mean Sample standard deviation 5 1,460 1,448 488 503 Inconclusive Failed to Reject Null Hypothesis Reject Null Hypothesis
Transcribed Image Text:A running coach wanted to see whether runners run at a different speed after eating spaghetti the night before a race. For a 5-km race, two samples were chosen: 5 runners who had a regular dinner the night before and 10 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At a = 0.04, assuming unequal population variances, and using the Welch-Satterthwaite (i.e., exact) equation to calculate the degrees of freedom, do the data support the alternative hypothesis that runners do indeed run at a different speed after eating spaghetti? Regular DinnerSpaghetti Dinner 10 Sample size Sample mean Sample standard deviation 5 1,460 1,448 488 503 Inconclusive Failed to Reject Null Hypothesis Reject Null Hypothesis
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