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 910 kWh. Assume the population standard deviation is 127 kWh. At a = 0.05, can you support the claim? Complete parts (a) through (e). (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.) O A. The critical values are i O B. The critical value is Identify the rejection region(s). Select the correct choice below. O A. The rejection region is z>1.64. O B. The rejection region is z<1.64. OC. The rejection regions are z< -1.64 and z>1.64. (c) Find the standardized test statistic. Use technology. The standardized test statistic isz=. (Round to two decimal places as needed.)
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 910 kWh. Assume the population standard deviation is 127 kWh. At a = 0.05, can you support the claim? Complete parts (a) through (e). (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.) O A. The critical values are i O B. The critical value is Identify the rejection region(s). Select the correct choice below. O A. The rejection region is z>1.64. O B. The rejection region is z<1.64. OC. The rejection regions are z< -1.64 and z>1.64. (c) Find the standardized test statistic. Use technology. The standardized test statistic isz=. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Below is the complete question for (e).
At the 5% significance level, there is not / is enough evidence to reject / support the claim that the mean monthly residential electricity consumption in a certain region is different from / is greater than / is less than ____ kWh.
Transcribed Image Text:(d) Decide whether to reject or fail to reject the null hypothesis.
A. Fail to reject H, because the standardized test statistic is in the rejection region.
B. Reject Ho because the standardized test statistic is in the rejection region.
C. Fail to reject Ho because the standardized test statistic is not in the rejection region.
D. Reject Ho because the standardized test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
At the 5% significance level, there
enough evidence to
the claim that the mean monthly residential electricity consumption in a certain region
kWh.
Transcribed Image Text: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 910 kWh. Assume the population standard deviation is 127 kWh. At a = 0.05, can you support the claim? Complete parts (a) through (e).
(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.)
O A. The critical values are ±
B. The critical value is
Identify the rejection region(s). Select the correct choice below.
A. The rejection region is z> 1.64.
B. The rejection region is z< 1.64.
C. The rejection regions are z< - 1.64 andz> 1.64.
(c) Find the standardized test statistic. Use technology.
The standardized test statistic is z =
(Round to two decimal places as needed.)
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