Reference: Course : Analysis of experience plans MAT2375

Question: Either a random sample of size 19: X₁, ..., X₁₉ of a law normal of mean and variance x2. We wanted to do the following test: H₀: x2= 30 against H₀: x2= 80

(A) What is the variable the statistic) on which we will base ourselves?

(B) Determine the critical region of rejection of the null hypothesis with a threshold of meaning of 5%.

(C) Determine the probability of committing a type II error.