A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 ​kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 61 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 129 kWh. At α=0.01​, can you support the​ claim? Complete parts​ (a) through​ (e). ​(a) Identify H0 and Ha. Choose the correct answer below. A. H0​: μ>870 ​(claim) Ha​: μ≤870 B. H0​: μ=890 Ha​: μ≠890 ​(claim) C. H0​: μ>890 ​(claim) Ha​: μ≤890 D. H0​: μ≤870 Ha​: μ>870 ​(claim) Your answer is correct. E. H0​: μ≤890 Ha​: μ>890 ​(claim) F. H0​: μ=870 ​(claim) Ha​: μ≠870 ​(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 2.332.33. Your answer is correct. B. The critical values are ±enter your response here. Identify the rejection​ region(s). Select the correct choice below. A. The rejection regions are z<−2.33 and z>2.33. B. The rejection region is z<2.33. C. The rejection region is z>2.33.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A company claims that the mean monthly residential electricity consumption in a certain region is more than
870
​kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of
61
residential customers has a mean monthly consumption of
890
kWh. Assume the population standard deviation is
129
kWh. At
α=0.01​,
can you support the​ claim? Complete parts​ (a) through​ (e).
 
 
 
​(a) Identify
H0
and
Ha.
Choose the correct answer below.
 
 
A.
H0​:
μ>870
​(claim)
Ha​:
μ≤870
 
B.
H0​:
μ=890
Ha​:
μ≠890
​(claim)
 
C.
H0​:
μ>890
​(claim)
Ha​:
μ≤890
 
D.
H0​:
μ≤870
Ha​:
μ>870
​(claim)
Your answer is correct.
 
E.
H0​:
μ≤890
Ha​:
μ>890
​(claim)
 
F.
H0​:
μ=870
​(claim)
Ha​:
μ≠870
​(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
2.332.33.
Your answer is correct.
 
B.
The critical values are
±enter your response here.
Identify the rejection​ region(s). Select the correct choice below.
 
 
A.
The rejection regions are
z<−2.33
and
z>2.33.
 
B.
The rejection region is
z<2.33.
 
C.
The rejection region is
z>2.33.
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