Question

In: Statistics and Probability

Efficient manufacturing: Efficiency experts study the processes used to manufacture items in order to make them...

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 85 clamps, the mean time to complete this step was 59.2 seconds. Assume that the population standard deviation is σ=12 seconds.

(a) Construct a 95% confidence interval for the mean time needed to complete this step. Round the answer to at least one decimal place.

Expert Solution

Solution :

Given that,

(a)

Sample size = n = 85

Z/2 = 1.96

Margin of error = E = Z/2* ( / $\sqrt$ n)

= 1.96 * (12 / $\sqrt$ 85)

Margin of error = E = 2.6

At 95% confidence interval estimate of the population mean is,

- E < < + E

59.2 - 2.6 < < 59.2 + 2.6

56.6 < < 61.8

(56.6 , 61.8)

orchestra answered 2 years ago

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