A random sample is obtained from a population with variance 2 625 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 Sample size n 25 b Sample s...

A random sample is obtained from a population with a variance of 625 and the sample ...

A random sample is obtained from a population with variance 2 = 625 and the sample mean

Question:

A random sample is obtained from a population with variance σ2 = 625 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. Sample size n = 25
b. Sample size n = 16
c. Sample size n = 44
d. Sample size n = 32