The mean consumption of water per household in a city was 1201 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1153 cubic feet per month. The population standard deviation is given to be 249 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.01? Round your answer to four decimal places. p-value = i We b. Make the test of part a using the critical-value approach and α = 0.01. Round your answer for z to two decimal places. Zobserved = Ho. We ✓ Ho. We conclude that the mean consumption of water per household has by the city council. due to the campaign
The mean consumption of water per household in a city was 1201 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1153 cubic feet per month. The population standard deviation is given to be 249 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.01? Round your answer to four decimal places. p-value = i We b. Make the test of part a using the critical-value approach and α = 0.01. Round your answer for z to two decimal places. Zobserved = Ho. We ✓ Ho. We conclude that the mean consumption of water per household has by the city council. due to the campaign
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Hypothesis Testing for Water Consumption Reduction**
The mean consumption of water per household in a city was 1201 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1153 cubic feet per month. The population standard deviation is given to be 249 cubic feet.
### a. Find the p-value
**Objective:**
Test the hypothesis that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at \(\alpha = 0.01\)?
- **p-value Calculation:**
- Find the p-value for the test.
- Round your answer to four decimal places.
\[
\text{p-value} = \_\_\_\_
\]
- Choose whether to reject or fail to reject \(H_0\):
- We \(\_\_\_\_\) \(H_0\).
### b. Critical-Value Approach
- **Objective:**
Make the test of part a using the critical-value approach and \(\alpha = 0.01\).
- **Z-Score Calculation:**
- Calculate the observed z-value.
- Round your answer to two decimal places.
\[
Z_{\text{observed}} = \_\_\_\_
\]
- Choose whether to reject or fail to reject \(H_0\):
- We \(\_\_\_\_\) \(H_0\).
**Conclusion:**
- We conclude that the mean consumption of water per household has \(\_\_\_\_\) due to the campaign by the city council.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27c44973-b695-4838-95b3-ee2a1d975c6e%2F09028d1b-2bec-4d36-bb29-1728af519bec%2Fo9eqvo_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Water Consumption Reduction**
The mean consumption of water per household in a city was 1201 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1153 cubic feet per month. The population standard deviation is given to be 249 cubic feet.
### a. Find the p-value
**Objective:**
Test the hypothesis that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at \(\alpha = 0.01\)?
- **p-value Calculation:**
- Find the p-value for the test.
- Round your answer to four decimal places.
\[
\text{p-value} = \_\_\_\_
\]
- Choose whether to reject or fail to reject \(H_0\):
- We \(\_\_\_\_\) \(H_0\).
### b. Critical-Value Approach
- **Objective:**
Make the test of part a using the critical-value approach and \(\alpha = 0.01\).
- **Z-Score Calculation:**
- Calculate the observed z-value.
- Round your answer to two decimal places.
\[
Z_{\text{observed}} = \_\_\_\_
\]
- Choose whether to reject or fail to reject \(H_0\):
- We \(\_\_\_\_\) \(H_0\).
**Conclusion:**
- We conclude that the mean consumption of water per household has \(\_\_\_\_\) due to the campaign by the city council.
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