Consider H0: = 45 versus H1: < 45. a. A random sample of 25 observations

Question:

Consider H0: µ = 45 versus H1: µ < 45.
a. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025, would you reject the null hypothesis? The population is known to be normally distributed with σ = 6.
b. Another random sample of 25 observations taken from the same population produced a sample mean of 43.8. Using α = .025, would you reject the null hypothesis? The population is known to be normally distributed with σ = 6.