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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviation are equal.

A simple random sample of 13 four-cylinder cars is obtained, and the braking distances are measured. The mean braking distance is 137.5 ft and the standard deviation is 5.8 ft. A simple random sample of 12 six-cylinder cars is obtained and the braking distance have a mean of 136.3 ft with a standard deviation of 9.7 ft. Use a 0.05 significance level to test the claim that the mean braking distance of four-cylinder cars is greater than the mean braking distance of six-cylinder cars.

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Category:- Statistics and Probability
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