Question

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 x-bar.
b. Describe the shape of the sampling distribution of x-bar. Does your answer depend on the sample size?
c. Calculate the standard normal z -score corresponding to a value of x-bar = 16.
d. Calculate the standard normal z -score corresponding to x-bar = 23.
e. Find P(x-bar < 16).
f. Find P(x-bar > 23).
g. Find P(16 < x-bar < 23).


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  • CreatedMay 20, 2015
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