Question

Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft which was the standard deviation for the old production method. If it appears that the standard deviation is greater does the new production method appear to be better or worse than the old method ? The critical value is ?

What are the null and alternative hypotheses? Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action? -41, 79, -22. -71, -42, 13, 18, 53, -6, -50, - 107. - 107 O A H, 0322 H 322 ft OC. Ho a<322 ft H, -322 O E. Ho g=32 2 H, 0322 OB. H, 4322 Hy a=322 D. Hg = 32 2ft H, o>322 ft OF. Hy a = 322 Hy a7322 Find the test statistic x = 35 95 (Round to two decimal places as needed) Determine the critical value(s) The critical value(s) is/are 2 (Use a comma lo separato answers as needed. Round to two decimal places as needed.)

Answer 1

for 5 % level and given df critical values of X2 =19.68

from excel: chiinv(0.05,11)

reject Ho since test statistic is in critical region