Consider the hypotheses shown below. Given that x=112​, σ=26​, n=41​, α=0.01​, complete parts a through c below. H0​: μ=

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Consider the hypotheses shown below. Given that
x=112​,
σ=26​,
n=41​,
α=0.01​,
complete parts a through c below.
H0​:
μ=122
HA​:
μ≠122
a. State the decision rule in terms of the
critical​ value(s) of the test statistic.
Reject the null hypothesis if the calculated value of the
test​ statistic,
z,
is
not contained within
the critical​ value(s),
enter your response here.
​Otherwise, do not reject the null hypothesis.
​(Round to two decimal places as needed. Use a comma to separate
answers as​ needed.)
b. State the calculated value of the test statistic.
The test statistic is
enter your response here.
​(Round to two decimal places as​ needed.)
c. State the conclusion.
Because the test statistic
▼
is greater than the critical value,
is less than the critical value,
falls within the critical values,
does not fall within the critical values,
▼
do not reject
reject
the null hypothesis and conclude the population mean
▼
is
is not
equal to
122.