# Independent sample t test: Times required by sprinters

Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows:

13.7 14.2 13.2 11.3 12.6 10.0 10.1 14.1 13.8 13.2

The times required by sprinters in the second group are as follows:

17.3 10.6 14.0 15.9 15.1 13.4 18.9 17.2 17.6 10.1

Assuming that = 0.05, test the hypothesis that the means of the two populations are equal.

· State the null and alternate hypotheses

· Calculate the mean and standard deviation for each group

· Calculate the value of the test statistic.

· Determine the critical value(s).

· State your decision: Should the null hypothesis be rejected

https://brainmass.com/statistics/students-t-test/independent-sample-test-times-required-sprinters-288220

#### Solution Preview

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Null hypothesis

Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows:

13.7 14.2 13.2 11.3 12.6 10.0 10.1 14.1 13.8 13.2

The times required by sprinters in the second group are as follows:

17.3 10.6 14.0 15.9 15.1 13.4 18.9 17.2 17.6 10.1

Assuming that = 0.05, test the hypothesis that the means of the two populations are equal.

· State the null and alternate hypotheses

· Calculate the mean and standard deviation for each group

· Calculate the value of the test statistic.

· Determine the critical ...

#### 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.