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Consider the following hypothesis test:

H0:μ≤50 Ha:μ>50H0:μ≤50 Ha:μ>50.

A sample of 55 is used and the population standard deviation is 7. Use the critical value approach to state your conclusion for each of the following sample results. Use α=0.05α=0.05.

a. With ¯x=52.5x¯=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=51x¯=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=51.8x¯=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?