Please show your work 9- A warehouse manager wants to develop a time standard fo

Question

Please show your work

9- A warehouse manager wants to develop a time standard for loading 53’ dry vans. In a preliminary study, he observed one of his forklift drivers perform this task 10 times with an average of 45 minutes and a standard deviation of 2 minutes.
How many observations should be made if he wants to be 98.36 percent confident that the maximum error in the observed time is +/-5%?

A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are under control with regard to a particular quality attribute. Accordingly, she inspected 1,000 units of output from each machine in random samples, with the following results:

Explanation / Answer

9)

Mean, m = 45

Std deviation, s = 2

For 98.36% confidence level, z value = NORMSINV(1-(1-0.9836)/2) = 2.4

Margin of error, e = 0.05 (given +/- 5%)

Required sample size, n = (zs/em)2 = (2.4*2/(45*0.05))2 = 4.6 ~ 6 observations

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