Parameters alpha v2 and beta 2 is a chisquare distribution

Parameters alpha = v/2 and beta =2 is a chi-square distribution with v degrees of freedom Show that (yi - mu 0)^2 - (yi- )^2 = n ( - mu 0)^2 Use the result of (a) to find the critical region of the likelihood ratio test (alpha = 0.05) for testing the null hypothesis H0 : mu = mu 0 against the alternative Ha : mu mu 0 on the basis of a random sample of size n from a normal population with known variance sigma^2 Determine the least squares line for the points (0,2), (1,3), (4,5), (7,6)

Solution