A random sample of n 64 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to 16 a Give the mean and standard deviation of the (repeated) sampling distribution of b Describe the shape of the sampling distribution of Does your answer depend on the sample size c Calculate the standard normal z score corresponding to a value of 15 5 d Calculate the standard normal z score corresponding to 23

Question: A random sample of n = 64 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to

A random sample of n = 64 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to 16.
a. Give the mean and standard deviation of the (repeated) sampling of .
b. Describe the shape of the sampling of . Does your answer depend on the sample size?
c. Calculate the standard normal z-score corresponding to a value of = 15.5.
d. Calculate the standard normal z-score corresponding to = 23.

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