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 44−44​,

7777​,

negative 23−23​,

negative 74−74​,

negative 45−45​,

1414​,

1919​,

5252​,

negative 8−8​,

negative 55−55​,

negative 107−107​,

negative 107−107  

Find the test statistic.

chi squaredχ2equals=nothing

​(Round to two decimal places as​ needed.)

Determine the critical​ value(s).

The critical​ value(s) is/are

nothing.

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

Since the test statistic is

▼

less than

between

equal to

greater than

the critical​ value(s),

▼

rejectreject

fail to rejectfail to reject

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.

The variation appears to be

▼

greater

less

about the same

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

▼

better

worse

similar

​, 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.

Answer 1