In: Statistics and Probability
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 41.4 seconds. Assume that the population standard deviation is =σ 12 seconds. Round the critical value to no less than three decimal places.
(a) Construct a confidence interval for the mean time needed to complete this step. Round the answer to at least one decimal place.
A
98%
<<μ
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Confidence Interval Calculation:
98% confidence interval for the mean is
38.177 < μ < 44.623