Consider Ho 72 versus H1 72 A random sample of 16 observations taken from this population produced a sample mean of 75 2 The population is normally distributed with 6 a Calculate the p value b Considering the p value of part a, would you reject the null hypothesis if the test were made at a signifi...

a Step 1 H 0 72 H l 72 Step 2 Since the population is normally distrib ...

Consider Ho: = 72 versus H1: > 72. A random sample of 16 observations taken

Question:

Consider Ho: µ = 72 versus H1: µ > 72. A random sample of 16 observations taken from this population produced a sample mean of 75.2. The population is normally distributed with σ = 6.
a. Calculate the p-value.
b. Considering the p-value of part a, would you reject the null hypothesis if the test were made at a significance level of .01?
c. Considering the p-value of part a, would you reject the null hypothesis if the test were made at a significance level of .025?