A paper manufacturer requires a minimum strength of 20 pounds per square inch. To check on the

Question:

A paper manufacturer requires a minimum strength of 20 pounds per square inch. To check on the quality of the paper, a random sample of 10 pieces of paper is selected each hour from the previous hour's production and a strength measurement is recorded for each. Assume that the strength measurements are normally distributed with a standard deviation σ = 2 pounds per square inch.
a. What is the approximate sampling of the sample mean of n = 10 test pieces of paper?
b. If the mean of the population of strength measurements is 21 pounds per square inch, what is the approximate probability that, for a random sample of n = 10 test pieces of paper, < 20?
c. What value would you select for the mean paper strength m in order that P( < 20) be equal to .001? Distribution
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