Suppose that we will randomly select a sample of 64 measurements from a
population having a mean equal to 20 and a standard deviation equal to 4.
Describe the shape of the sampling distribution of the sample .
Do we need to make any assumptions about the shape of the population?
Why or why not?
Find the mean and the standard deviation of the sampling distribution of the
sample mean .
Calculate the probability that we will obtain a sample mean greater than 21;
that is, calculate P( >21).
Hint: Find the z value corresponding to 21 by using and because we wish to
calculate a probability about.
Then sketch the sampling distribution and the probability.
Calculate the probability that we will obtain a sample mean less than 19.385;
that is, calculate P( <19.385).
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