Q43 Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

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Q43 Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

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Q43
Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.

(a) What is the mean of the xbar sampling distribution?

What is the standard deviation of the xbar sampling
distribution (to 3 decimal places)?

For parts b & c round to 4 decimal places:
(b) What is the probability that xbar will be within 0.5 of the
population mean μμ ?

(c) What is the probability that xbar will differ
from μμ by more than 0.7 ?
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