The piston diameter of a certain hand pump is 0.5 inch. The manager determines that the diameters are
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Part 1
What are the correct hypotheses for this test?
The null hypothesis is H0:
sigmaσ
sigmaσ
muμ
pp
equals=
greater than>
less than<
not equals≠
equals=
0.005.
0.005.
0.0034.
The alternative hypothesis is H1:
sigmaσ
muμ
pp
sigmaσ
less than<
greater than>
not equals≠
equals=
less than<
0.005.
0.0034.
0.005.
Part 2
Calculate the value of the test statistic.
χ2 =enter your response here (Round to three decimal places as needed.)
Part 3
Use technology to determine the P-value for the test statistic.
The P-value is enter your response here.
(Round to three decimal places as needed.)
Part 4
What is the correct conclusion at the α=0.10 level of significance?
Since the P-value is
▼
greater
less
than the level of significance,
▼
reject
do not reject
the null hypothesis. There
▼
is
is not
sufficient evidence to conclude that the standard deviation has decreased at the 0.10 level of significance.
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