Consider the following hypothesis test:

H0: mu = 20

Ha: mu < 20

A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.

a. Compute the value of the test statistic (to 2 decimals).

b. What is the p-value (to 3 decimals)?

c. Using a = .05, can it be concluded that the population mean is less than 20?

d. Using a = .05, what is the critical value for the test statistic?

e. State the rejection rule: Reject H0 if z is the critical value.

f. Using a = .05, can it be concluded that the population mean is less than 20?