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?

40, 79, 20, 75, 42, 15, 17, 54, 9, 51, 109, 109

Part 1 What are the null and alternative hypotheses? Part 2 Find the test statistic. (Round to two decimal places as needed.) Part 3 Determine the critical value(s). The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Part 4 Since the test statistic is the critical value(s), ________ . There is _____ evidence to support the claim that the new production method has errors with a standard deviation greater than 32.2 ft. Part 5 The variation appears to be __________ than in the past, so the new method appears to be _________ , because there will be __________ altimeters that have errors. Therefore, the company should take immediate action to reduce the variation.