Consider H0: μ = 72 versus H1: μ > 72. A random sample of 16 observations taken from this population produced a sample mean of 75.9. The population is normally distributed with σ = 6.
a. Calculate the p-value. Round your answer to four decimal places.
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?