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 hte 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,-24,-70,-40,15,19,54,-9,-51,-106 ,-106

What are the null and alternative hypotheses?

A. standard deviation =32.2 ft standard deviation greater than 32.2 ft

B. standard deviation greather than 32.2 ft standard deviation= 32.2 ft

C. standard deviation= 32.2 ft standard deviation is not equal to 32.2. ft

D. standard deviation not equal to 32.2. ft standard deviation is equal to 32.2 ft

E. standard deviation is less than 32.2 ft stanard deviation equal 32.2 ft

F. standard deviation is equal to 32.2 ft standard deviation less than 32.2 ft

Find the test statistic x^2= round two decimal places

Determine the critical value= use a comma to seperate

Since the statistic is the critical values are H_0. there is evidence to support a claim.

The variation appears to be than in the past so the new method could be because there will be more in altimeters. Therefore the company take immediate action to reduce the variation.