Consider the following hypothesis test:

H0: u u is less than or equal to 50

Ha: u > 50

A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05.

a. With ?? x = 52.5, what is the value of the test statistic (to 2 decimals)?

Can it be concluded that the population mean is greater than 50?

b. With ?x? = 51, what is the value of the test statistic (to 2 decimals)?

Can it be concluded that the population mean is greater than 50?

c. With ?x? = 51.8, what is the value of the test statistic (to 2 decimals)?

Can it be concluded that the population mean is greater than 50?