Consider the following hypothesis test: h0: 50 ha: > 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 = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 can it be concluded that the population mean is greater than 50?

b. with = 51, what is the value of the test statistic (to 2 decimals)? 0.97 can it be concluded that the population mean is greater than 50?

c. with = 51.8, what is the value of the test statistic (to 2 decimals)? 1.74 can it be concluded that the population mean is greater than 50?