A random sample of n 25 is obtained from a population with variance 2, and the sample mean is computed Test the null hypothesis H0 100 versus the alternative hypothesis H1 100 with 0 05 Compute the critical value x barc and state your decision rule for the following options a The population varianc...

A random sample of n 25 is obtained from a population with a variance and the sample me ...

A random sample of n = 25 is obtained from a population with variance 2, and the

Question:

A random sample of n = 25 is obtained from a population with variance σ2, and the sample mean is computed. Test the null hypothesis H0: μ = 100 versus the alternative hypothesis H1: μ > 100 with α = 0.05. Compute the critical value x-barc and state your decision rule for the following options.
a. The population variance is σ2 = 225.
b. The population variance is σ2 = 900.
c. The population variance is σ2 = 400.
d. The population variance is σ2 = 600.