Q7 Efficient manufacturing: Efficiency experts study the processes used to manuf
ID: 3431889 • Letter: Q
Question
Q7
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 55 clamps, the mean time to complete this step w-as -10.7 seconds. Assume that the population standard deviation is sigma = 12 seconds. Part 1 Construct an 80% confidence interval for the mean time needed to complete this step. Round to one decimal place, if necessary. An 80% confidence interval for the mean is . Part 2 out of 2 Find the sample size needed so that a 95% confidence interval will have margin error of A sample size of is needed in order to obtain a 95% confidence interval with a margin error of 1.5.Explanation / Answer
n = (z*sd/E)^2
the z score to use for a 95% confidence interval is 1.96
n = (1.96*12/1.5)^2
n = 246, always round up
answer: 246
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