5. A golf ball manufacturer has come up with a less expensive way to produce the company's golf balls. The manufacturer wants to make sure the balls manufactured with the new method travel the same distance as the balls manufactured the old way. A machine is used to drive both types of golf balls a number of times, and the results are summarized below. Distances are in yards. Std Error of Manufacturing Method Mean Drive Std Dev the Mean Old 50 258 25 3.536 New 50 246 40 5.657 (a) Find a 95% confidence interval for the mean difference in driving distances. (b) Does your confidence interval provide evidence that balls manufactured by the two methods have the same driving distance? Explain.

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