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?

41, 75, 23, 71, 44, 14, 19, 52, 5, 54, 108, 108

What are the null and alternative hypotheses?

A. H0: = 32.2 ft

H1: < 32.2 ft

B. H0: < 32.2 ft

H1: = 32.2 ft

C. H0: = 32.2 ft

H1: 32.2 ft

D. H0: 32.2 ft

H1: = 32.2 ft

E. H0: = 32.2 ft

H1: > 32.2 ft

F. H0: > 32.2 ft

H1: = 32.2 ft

Find the test statistic.

2 = (Round to two decimal places as needed.)

Determine the critical value(s).

The critical value(s) is/are ---------(Use a comma to separate answers as needed. Round to two decimal places as needed.)

Since the test statistic is (1) ------------the critical

value(s), (2)-----------Ho . There is (3)---------- 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 (4)--------- than in the

past, so the new method appears to be (5)---------- , because there will be (6)-------- altimeters that have errors. Therefore, the company (7)---------- take immediate action to reduce the variation.

(1) between

equal to

less than

greater than

(2)fail to reject

reject

(3) sufficient

insufficient

(4) about the same

less

greater

(5) similar

better

worse

(6) the same number of

more

fewer

(7) should not

should