#3 Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use 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? -44, 76, -24, -73, -43, 10, 19, 53, -7, -52, -106, -106 What are the null and alternative hypotheses? Find the test statistic X2= Determine the critical value(s). Since the test statistic is ▼ betweengreater thanless thanequal tothe critical value(s), ▼ fail to rejectrejectUpper H 0. There is ▼ sufficientinsufficientevidence 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 ▼ about the samelessgreaterthan in the past, so the new method appears to be ▼ similarbetterworse, because there will be ▼ the same number offewermorealtimeters that have errors. Therefore, the company ▼ should notshouldtake immediate action to reduce the variation.
#3
Test the given claim. Assume that a simple random sample is selected from a
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?
-44, 76, -24, -73, -43, 10, 19, 53, -7, -52, -106, -106
What are the null and alternative hypotheses?
Find the test statistic X2=
Determine the critical value(s).
Since the test statistic is
▼
between
greater than
less than
equal to
the critical value(s),
▼
fail to reject
reject
Upper H 0. There is
▼
sufficient
insufficient
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
▼
about the same
less
greater
than in the past, so the new method appears to be
▼
similar
better
worse
, because there will be
▼
the same number of
fewer
more
altimeters that have errors. Therefore, the company
▼
should not
should
take immediate action to reduce the variation.
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