Foot locker uses sales per square foot as a measure of store productivity.Sales are currrently running at an annual rate of 406$ per square foot.You have been asked by management to conduct a study of a sample of 64 foot locker stores. Assume the standard deviation in annual sales per square foot he population of all 3400 foot Locker stores is 80$.
a> Show the sampling distribution of x, the sample mean annual sales per square foot for a sample of 64 Foot Locker Stores.
b> What is the probability that the sample mean will be within 15$ of the population mean?
c>Suppose you find a sample mean of 380$. What is the probability of finding a sample mean of 380$ or less? Would you consider such a sample to be an unusually low performing group of stores?
Can you please help with this exercise.
Thanks beforehand.