A random sample of 64 observations produced a sample mean

Question

Question: Consider H₀: μ = 100 versus H₁: μ ≠ 100.

a. A random sample of 64 observations produced a sample mean of 98. Using α = .01, would you reject the null hypothesis? The population standard deviation is known to be 12.

b. Another random sample of 64 observations taken from the same population produced a sample mean of 104. Using α = .01, would you reject the null hypothesis? The population standard deviation is known to be 12.

Comment on the results of parts a and b.