A company claims that the mean monthly residential electricity consumption in a certain region is more than 880 ​kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 63 residential customers has a mean monthly consumption of 900 kWh. Assume the population standard deviation is 121 kWh. At α=0.05​, can you support the​ claim? Complete parts​ (a) through​ (e). ​(a) Identify H0 and Ha. Choose the correct answer below.     A. H0​: μ=900 Ha​: μ≠900 ​(claim)   B. H0​: μ≤880 Ha​: μ>880 ​(claim)   C. H0​: μ≤900 Ha​: μ>900 ​(claim)   D. H0​: μ>880 ​(claim) Ha​: μ≤880   E. H0​: μ>900 ​(claim) Ha​: μ≤900   F. H0​: μ=880 ​(claim) Ha​: μ≠880 ​(b) Find the critical​ value(s) and identify the rejection​ region(s). Select the correct choice below and fill in the answer box within your choice. Use technology.   ​(Round to two decimal places as​ needed.)   A. The critical value is nothing.   B. The critical values are ±nothing. Identify the rejection​ region(s). Select the correct choice below.     A. The rejection regions are z<−1.64 and z>1.64.   B. The rejection region is z<1.64.   C. The rejection region is z>1.64. ​(c) Find the standardized test statistic. Use technology.   The standardized test statistic is z=nothing. ​(Round to two decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.     A. Reject H0 because the standardized test statistic is in the rejection region.   B. Reject H0 because the standardized test statistic is not in the rejection region.   C. Fail to reject H0 because the standardized test statistic is not in the rejection region.   D. Fail to reject H0 because the standardized test statistic is in the rejection region. ​(e) Interpret the decision in the context of the original claim.   At the 5​% significance​ level, there ▼   isis is notis not enough evidence to ▼   support reject the claim that the mean monthly residential electricity consumption in a certain region ▼   is less than is greater than is different from nothing kWh.   Click to select your answer(s).

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A company claims that the mean monthly residential electricity consumption in a certain region is more than
880
​kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of
63
residential customers has a mean monthly consumption of
900
kWh. Assume the population standard deviation is
121
kWh. At
α=0.05​,
can you support the​ claim? Complete parts​ (a) through​ (e).
​(a) Identify
H0
and
Ha.
Choose the correct answer below.
 
 
A.
H0​:
μ=900
Ha​:
μ≠900
​(claim)
 
B.
H0​:
μ≤880
Ha​:
μ>880
​(claim)
 
C.
H0​:
μ≤900
Ha​:
μ>900
​(claim)
 
D.
H0​:
μ>880
​(claim)
Ha​:
μ≤880
 
E.
H0​:
μ>900
​(claim)
Ha​:
μ≤900
 
F.
H0​:
μ=880
​(claim)
Ha​:
μ≠880
​(b) Find the critical​ value(s) and identify the rejection​ region(s). Select the correct choice below and fill in the answer box within your choice. Use technology.
 
​(Round to two decimal places as​ needed.)
 
A.
The critical value is
nothing.
 
B.
The critical values are
±nothing.
Identify the rejection​ region(s). Select the correct choice below.
 
 
A.
The rejection regions are
z<−1.64
and
z>1.64.
 
B.
The rejection region is
z<1.64.
 
C.
The rejection region is
z>1.64.
​(c) Find the standardized test statistic. Use technology.
 
The standardized test statistic is
z=nothing.
​(Round to two decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
 
A.
Reject
H0
because the standardized test statistic
is
in the rejection region.
 
B.
Reject
H0
because the standardized test statistic
is not
in the rejection region.
 
C.
Fail to reject
H0
because the standardized test statistic
is not
in the rejection region.
 
D.
Fail to reject
H0
because the standardized test statistic
is
in the rejection region.
​(e) Interpret the decision in the context of the original claim.
 
At the
5​%
significance​ level, there
 
isis
is notis not
enough evidence to
 
support
reject
the claim that the mean monthly residential electricity consumption in a certain region
 
is less than
is greater than
is different from
nothing
kWh.
 
Click to select your answer(s).
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