A Sample of 50 Observations Is Drawn at Random from a Normal

Essay

A sample of 50 observations is drawn at random from a normal population whose mean and standard deviation are 75 and 6, respectively.
a. What does the central limit theorem say about the sampling distribution of the sample mean? Why?
b. Find the mean and standard error of the sampling distribution of the sample mean.
c. Find P( $\bar { X }$ > 73).
d. Find P( $\bar { X }$ < 74).