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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,

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

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