Question

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? negative 42​, 78​, -25​, -70​, -43​, 10​, 15​, 54​, -9​,-50​, -106​, -106

Answer 1

Let denotes the standard deviation for new production method.

Conclusion : Since the standard deviation is​ greater, the new production method appears to be worse than the old​ method.