Question
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,
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: 7 runners who had a regular dinner the night before and 8 runners who had a spaghetti dinner the night before. Their results (in seconds) are in the table below. At = 0.08, 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 Dinner | Spaghetti Dinner | ||
Sample size | 7 | 8 | |
Sample mean | 1,166 | 1,018 | |
Sample standard deviation | 679 | 761 |
Failed to Reject Null Hypothesis | ||
Inconclusive | ||
Reject Null Hypothesis |
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