Suppose a random sample of size 36 is selected from a population with mean , the value of which is unknown. The sample had a mean of 10.5 and a standard deviation of 12. You are given the following hypotheses:

Ho: = 8

H_A: > 8

If testing at of 5%, which of the following is the correct decision and conclusion?

a, As Z calculated of 1.25 is less than Z critical of 1.645, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.

b, As t calculated of 1.25 is less than t critical of 1.69, we reject Ho and conclude there is significant evidence the population mean is greater than 8.

c, As t calculated of 1.25 is less than t critical of 1.69, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.

d, None of these choices is correct

e, As Z calculated of 1.25 is less than Z critical of 1.645, we reject Ho and conclude there is significant evidence the population mean is greater than 8.