2. Students of a large university spend an average of $8.50 a day on lunch. The standard deviation of the expenditure is

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2. Students of a large university spend an average of $8.50 a
day on lunch. The standard deviation of the expenditure is $4. A
simple random sample of 36 students is taken.
a. What are the expected value and standard error of
this sampling distribution?
b. What is the shape of this sampling distribution and
why?
c. What is the probability that the sample mean will be
within $1.00 of the population mean?
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