# Question

When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 92.0 and a standard deviation of 3.6. A random sample of 4 different hours was taken.

a. Find the mean of the sampling distribution of the sample means.

b. Find the variance of the sampling distribution of the sample mean.

c. Find the standard error of the sampling distribution of the sample mean.

d. What is the probability that the sample mean exceeds 93.0 units?

a. Find the mean of the sampling distribution of the sample means.

b. Find the variance of the sampling distribution of the sample mean.

c. Find the standard error of the sampling distribution of the sample mean.

d. What is the probability that the sample mean exceeds 93.0 units?

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