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 4242,

7878,

negative 2222,

negative 7272,

negative 4141,

1111,

1616,

5252,

negative 88,

negative 5555,

negative 108108,

negative 108108

What are the null and alternative hypotheses? is this right?

H0: =32.2

H1: >32.2

Find the test statistic.

chi squared 2 = ?

(Round to two decimal places as needed.)

Determine the critical value(s).The critical value(s) is/are

enter your response here.

(Use a comma to separate answers as needed. Round to two decimal places as needed.)

Since the test statistic is

greater than

between

less than

equal to

the critical value(s),

fail to rejectfailtoreject

rejectreject

Upper H 0H0.

There is

insufficient

sufficient

evidence to support the claim that the new production method has errors with a standard deviation greater than 32.2 ft.Part 5The variation appears to be

about the same

less

greater

than in the past, so the new method appears to be

similar

better

worse

,

because there will be

fewer

more

the same number of

altimeters that have errors. Therefore, the company

should

should not

take immediate action to reduce the variation.