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? −40, 79, −23, −70, −42, 14, 19, 55, −7, −51, −107, −107 What are the null and alternative hypotheses? A. H0: σ=32.2 ft H1: σ<32.2 ft B. H0: σ<32.2 ft H1: σ=32.2 ft C. H0: σ≠32.2 ft H1: σ=32.2 ft D. H0: σ=32.2 ft H1: σ≠32.2 ft E. H0: σ=32.2 ft H1: σ>32.2 ft F. H0: σ>32.2 ft H1: σ=32.2 ft Find the test statistic. χ2=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 equal to greater than between the critical value(s), ▼ fail to rejectfail to reject rejectreject H0. 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 ▼ greater about the same less than in the past, so the new method appears to be ▼ better similar worse , because there will be ▼ more fewer the same number of altimeters that have errors. Therefore, the company ▼ should not should take immediate action to reduce the variation.

          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?
−40,
79,
−23,
−70,
−42,
14,
19,
55,
−7,
−51,
−107,
−107  
What are the null and alternative hypotheses?
A.
H0:
σ=32.2
ft
H1:
σ<32.2
ft
B.
H0:
σ<32.2
ft
H1:
σ=32.2
ft
C.
H0:
σ≠32.2
ft
H1:
σ=32.2
ft
D.
H0:
σ=32.2
ft
H1:
σ≠32.2
ft
E.
H0:
σ=32.2
ft
H1:
σ>32.2
ft
F.
H0:
σ>32.2
ft
H1:
σ=32.2
ft
Find the test statistic.
χ2=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
equal to
greater than
between
the critical value(s),
▼
fail to rejectfail to reject
rejectreject
H0.
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
▼
greater
about the same
less
than in the past, so the new method appears to be
▼
better
similar
worse
, because there will be  
▼
more
fewer
the same number of
altimeters that have errors. Therefore, the company
▼
should not
should
take immediate action to reduce the variation.

Added by Mireia G.

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