Hypothesis testing for the population mean.

The manufacturer of a certain type of ATM machine reports that the mean ATM withdrawal is $60. The manager of a convenience store with an ATM machine thinks that mean withdrawal from his machine is less than this amount. He obtains a simple random sample of 35 withdrawals over the past year and finds the sample mean to be $ 54. Suppose that the population standard deviation is $ 13.

a) What is the sampling distribution of sample mean? __________________

b) Situation the hypotheses- H0 and H1.

c) Compute a test statistic. _________________

d) Conclude the corresponding p-value.__________________

e) Make a decision using the p-value approach at the given α = 0.05.

f) Compute a cutoff value (or critical value) ______________

g) Decide using the Decision Rule approach at given α = 0.05.