What are the mean and standard deviation of the sampling distribution of  x? ?x = ?x = Describe the shape of the sampling distribution of  x. The shape of the sampling distribution of  x  is       . (b) What is the approximate probability

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Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7.
 
(a)
What are the mean and standard deviation of the sampling distribution of 
x?
?x
=
?x
=
Describe the shape of the sampling distribution of 
x.
The shape of the sampling distribution of 
x
 is       .
(b)
What is the approximate probability that 
x
 will be within 0.5 of the population mean ?? (Round your answer to four decimal places.)
 
(c)
What is the approximate probability that 
x
 will differ from ? by more than 0.9? (Round your answer to four decimal places.)
 
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