Another random sample of 25 observations taken from the

Question

Question: Consider H₀: μ = 80 versus H₁: μ ≠ 80 for a population that is normally distributed.

a. A random sample of 25 observations taken from this population produced a sample mean of 77 and a standard deviation of 8. Using α = .01, would you reject the null hypothesis?

b. Another random sample of 25 observations taken from the same population produced a sample mean of 86 and a standard deviation of 6. Using α = .01, would you reject the null hypothesis?

Comment on the results of parts a and b.