The following information is available for two samples selected from independent normally distributed populations. Compl

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The following information is available for two samples selected
from independent normally distributed populations. Complete
parts​ (a) and​ (b).
Population A n=13 S2=57.3
Population B n=21 S2=20.6
a. At the 0.05 level of​ significance, is there evidence of
a difference between
σ21
and
σ22​?
Determine the hypotheses. Choose the correct answer below.
A.
H0​:
σ21=σ22
H1​:
σ21≠σ22
B.
H0​:
σ21≤σ22
H1​:
σ21>σ22
C.
H0​:
σ21≥σ22
H1​:
σ21<σ22
D.
H0​:
σ21≠σ22
H1​:
σ21=σ22
Part 2
Use technology to find the test​ statistic,
FSTAT.
FSTAT=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Use technology to determine the​ p-value.
​p-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
Reach a decision.
▼
Do not reject
Reject
H0.
There is
▼
sufficient
insufficient
evidence of a difference between
σ21
and
σ22.
Part 5
b. Suppose that you want to perform a​ one-tail test. At
the 0.05 level of​ significance, what is the​ upper-tail
critical value of F to determine whether there is evidence that
σ21>σ22​?
What is your statistical​ decision?
The​ upper-tail critical value of F is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 6
What is your statistical​ decision?
▼
Reject
Do not reject
H0.
There is
▼
insufficient
sufficient
evidence that
σ21>σ22.