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, 78, 21, 75, 41, 15, 15, 55, 6, 52, 107, 107

What are the null and alternative hypotheses?

Find the test statistic.

The critical value(s) is/are _______

Since the test statistic is ________ the critical value(s)______ null hypothesis. there is ______ evidence to support the claim that the new production method has errors with a standard deviation greater than 32.2 ft.

the variation appears to be _______ than in the past, so the new method appears to be ________ altimeters that have errors. Therefore, the company _____ take immediate action to reduce the variation.