Consider 100 samples X1,X2,…,X100∼iid Normal(μ,16). Let the null and alternative hypothesis be H0:μ=1 and HA:μ=−1. Suppose T=100X1+X2+⋯+X100. Consider a test that rejects H0 if T>c for some constant c. What should be the critical value for the test at a significance level of 0.05?
Q37
11 Dec 2022
Statistics 2 · Week 10
Q37.Consider 100 samples X1,X2,…,X100∼iid Normal(μ,16). Let the null and alternative hypothesis be H0:μ=1 and HA:μ=−1. Suppose T=100X1+X2+⋯+X100. Consider a test that rejects H0 if T>c for some constant c. What should be the critical value for the test at a significance level of 0.05?
