Efficient manufacturing: 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. Consruct 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.
a)
b)
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