STAT330 Lecture Notes - Test Statistic
9 Feb 2014
School
Department
Course
Professor
Document Summary
Stat 330 - tutorial 9: suppose x1, . , xn iid n ( , 2) where is known. Suppose we would like to test h0 : = 0 vs ha : (cid:54)= 0. (a) construct the lr test statistic under h0. (b) show that the 2. 1 distribution is the exact distribution of the test statistic under h0. (c) conduct the test when 0 = 5 at a 5% signi cance level. You are given that n = 10, (cid:80)n i=1 xi = 58 and = 2. 1 > 3. 8415) = 0. 05. (d) disregard part c). The parameter is unknown and 0 < < 0. 5. Fifty families were chosen are random from the population. The observed numbers of children are given in the following table: 50 (a) find the ml estimate of . (b) a large study done 20 years earlier indicated that = 0. 45. 1 > 3. 8415) = 0. 05. (c) calculate the estimated expected frequencies.
