Question: Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture

Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture a metal clamp involves the drilling of three holes. In a sample of 75 clamps, the mean time to complete this step was 50.1 seconds. Assume that the population standard deviation is

σ = 10 seconds.

a. Construct a 95% confidence interval for the mean time needed to complete this step.

b. Find the sample size needed so that a 98% confidence interval will have margin of error of 1.5.

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