A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 106.7, and the sample standard deviation is found to be 21.9. Is the population mean greater than 100 at the alpha = 0.025 level ofsignificance?

Determine the null and alternative hypotheses.

H0: = 100

H1: > 100

Compute the test statistic.

t0 = 1.93

(Round to two decimal places asneeded.)

Determine theP-value.

TheP-value is _______.

(Round to three decimal places asneeded.)