Consider 100 samples X1,X2,…,X100∼i.i.d. Normal(μ,36). Let the null and alternative hypothesis be H0:μ=4 and HA:μ=−4. Suppose T=100X1+X2+⋯+X100. Consider a test that rejects H0 if T<c for some constant c. What is the level of significance in terms of 'c'?
Q22
28 Apr 2024
Statistics 2 · Week 10
Q22.Consider 100 samples X1,X2,…,X100∼i.i.d. Normal(μ,36). Let the null and alternative hypothesis be H0:μ=4 and HA:μ=−4. Suppose T=100X1+X2+⋯+X100. Consider a test that rejects H0 if T<c for some constant c. What is the level of significance in terms of 'c'?