Question: Consider H 0 : = 72 versus H 1 : > 72 A random sample of 16 observations taken from this population produced a sample

Consider H₀: = 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 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?

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