Question: 3. In a galvanized coating process for pipes, the mean coating weight is 125 lb, with a standard deviation of 10 lb. A random sample

3. In a galvanized coating process for pipes, the mean coating weight is 125 lb, with a standard deviation of 10 lb. A random sample of 50 pipes is drawn.

a. What is the probability that the sample mean coating weight is greater than 128 lb?

b. Find the 90th percentile of the sample mean coating weight.

c. How large a sample size is needed so that the probability is 0.02 that the sample mean is less than 123?

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