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

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 = 120 versus the alternative hypothesis H₁ : μ  > 120 with α = 0.10.

Compute the critical value x_c and state your decision rule for the following options.

a. The population variance is σ² = 196.
b. The population variance is σ² = 625.
c. The population variance is σ²  = 900.
d. The population variance is σ²  = 500.