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# Paired t test: Testing Samples of Runners After A Race

A running coach wanted to see whether runners ran faster after eating spaghetti the night before. A group of six runners was randomly chosen for this study. Each ran a 5 kilometer race after having a normal dinner the night before, and then a week later, reran the same race after having a spaghetti dinner the night before. The times for their races are shown in the table below. What test value should be used in a t test for these dependent samples?

Runner 1 Runner 2 Runner 3 Runner 4 Runner 5 Runner 6

Regular Dinner 1,000 s 985 s 1,009 s 970 s 1,016 s 996 s

Spaghetti Dinner 992 s 979 s 1,005 s 968 s 1,016 s 998 s

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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