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Hypothesis Testing of Variance: Breaking Distance of Cars

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Braking Distances of Cars

A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft. A random sample of 12 six-cylinder cars is obtained and the braking distances have a mean of 136.3 ft and a standard deviation of 9.7 ft. Use a 0.05 significance level to test the claim that braking distances of four-cylinder cars and braking distances of six-cylinders cars have the same standard deviation.

[Let population 1 be six-cylinder cars.

H0:

H1:

Upper CV: F =

Test Statistic [Show procedure.] F =

Conclusion (i.e. decision) on H0:

Final Conclusion on the claim by using Figure 8-7.

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Solution Summary

The solution provides step by step method for the calculation of F statistic for Differences in Two Variances. 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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