Statistics: Breaking Distances of Cars
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Assume that both samples are independent simple random samples from populations having normal distributions.
A random sample of 13 four-cylinder cars is obtained, and the braking distances are measured and found to have a mean of 137.5ft and a standard deviation of 5.8ft. A random sample of 12 six-cylinder cars is obtained and the braking distances have a mean of 136.3ft and a standard deviation of 9.7 ft. Use a 0.05 significance level to test the claim that breaking distances of four-cylinder cars and braking distances of six-cylinder cars have the same standard deviation.
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Solution Summary
This solution uses hypothesis testing to test the claim that breaking distances of four-cylinder cars and braking distances of six-cylinder cars have the same standard deviation, using a .05 significance level and assuming that both samples are independent simple random samples from populations having normal distributions.
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H0: The braking distances of four-cylinder cars and six-cylinder cars have the same standard deviation. ( )
H1: The standard ...
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