#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, 75, -24, -72, -42, 12, 15, 52, -8, -51, -107, -107 What are the null and alternative hypotheses? Find the test statistic X2= The critical value(s) is/are Since the test statistic is ▼ greater than between equal to less than the critical value(s), ▼ rejectfail to rejectUpper H 0. There is ▼ insufficientsufficientevidence 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 samegreaterlessthan in the past, so the new method appears to be ▼ worsesimilarbetter, because there will be ▼ morethe same number offeweraltimeters 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, 75, -24, -72, -42, 12, 15, 52, -8, -51, -107, -107
What are the null and alternative hypotheses?
Find the test statistic X2=
The critical value(s) is/are
Since the test statistic is
▼
greater than
between
equal to
less than
the critical value(s),
▼
reject
fail to reject
Upper H 0. 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
▼
about the same
greater
less
than in the past, so the new method appears to be
▼
worse
similar
better
, because there will be
▼
more
the same number of
fewer
altimeters that have errors. Therefore, the company
▼
should not
should
take immediate action to reduce the variation.
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