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Normal populations with equal variances

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The manager of a gym is studying the number of hours fitness trainers spend training clients at different gyms. A random sample of 4 trainers from each of three gyms is obtained, and the results are the following:

Hours of fitness trainers training clients

crossfit gym: 12,10,10,12

curves: 8,8,6,10

athlete training facility: 9,8,9,8

Assume the samples come from normal populations with equal variances

At the 5% significance level, test the hypothesis that there is no difference in the mean weekly hours in the three gyms where fitness trainers train clients.

Formulate and test the appropriate hypotheses. Use the critical value approach. (note: to save computational time, assume: SSB= 20.6667 and SSW =13)

Reference no: EM131912852

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