Consider H0:=72 versus H1:>72. A random sample of 16 observations taken from this population produced a sample mean of 75.5. The population is normally distributed with =6.

a. Calculate the p-value. Round your answer to four decimal places.

p=

b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01?

c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025?