A random sample of n 25 is obtained from a population with variance 2, and the sample mean is computed to be x bar 70 Consider the null hypothesis H0 80 versus the alternative hypothesis H1 80 Compute the p value for the following options a The population variance is 2 225 b The population variance...

A random sample of n 25 variance and the sample ...

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 to be x-bar = 70. Consider the null hypothesis H0: μ = 80 versus the alternative hypothesis H1: μ < 80. Compute the p-value 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.