5. A population of 1,000 students
spends an average of $10.50 a day on dinner. The standard
deviation of the expenditure is $3. A simple random sample of
64 students is taken.
a. What are the expected value, standard deviation, and
shape of the sampling distribution of the sample mean?
b. What is the probability that these 64 students will
spend a combined total of more than $715.21?
c. What is the probability that these 64 students will
spend a combined total between $703.59 and $728.45?