Question

homework help

1) (18 points total) You wish to determine if the variance of a variable is different than 32. To conduct the test, you take a sample of n=27 and calculate a sample variance of 16. a) (12 points) Test the hypothesis H.:02 = 32 versus H.:02 #32 using a = 0.05. Include a sketch of the sampling distribution with the critical value(s), the sample statistic, test statistic (along with calculations) and conclusion for full credit. b) (6 points) What is the p-value for your hypothesis test in part a).

Answer 1

12) Ho: 8² 32 vs Hai 2+32. tar Ataristie (t)(n-1) s? -2 hohore, na 27 S-16 0² 32. P oste x² = 26x16 - 32 2. 13. citieat value c2. 38-895 41.923 2 & 0.955 26 = 15.379 13.844, 099 Since to them x - computer value (x²) = 13 is smaller - i.e. X 0.975; 2n 30 nee rejecu Hor 6) bivalue 2 min & P[X² > 13.0], [x² < 13]} . 2 min2 0.983 91336, 0.016026643. 2 240.01602664 = 0.032.