A random sample of n= 64 observations is drawn from a population with a mean equal to 20 and 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
= 16.
d. Calculate the standard normal z-score corresponding to
= 23.
e. Find P(x
< 16).
f. Find P(
> 23).
g. Find P(16<
< 23).
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