The Skytek Avionics company uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in the errors listed below. Use a .05 significance level to test the claim that the new production method has errors with a standard deviation greater than 32.2ff, 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?
-42 78 -22 -72 -45 15 17 51 -5 -53 -9 -109
Identify null hypothesis, alternative hypothesis, test statistic, p-value or critical value(s), conclusion about null hypothesis, and final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.