The mean consumption of water per household in a city was 1248 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 99 households was found to be 1166 cubic feet per month. The population standard deviation is given to be 219 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 α = 0.05? Round your answer to four decimal places. p-value = i We ✰ Ho. b. Make the test of part a using the critical-value approach and α = 0.05. Round your answer for z to two decimal places. Zobserved We Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The mean consumption of water per household in a city was 1248 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 99 households was found to be 1166 cubic feet per month. The population standard deviation is
given to be 219 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 α = 0.05?
Round your answer to four decimal places.
p-value = i
We
✰ Ho.
b. Make the test of part a using the critical-value approach and α = 0.05.
Round your answer for z to two decimal places.
Zobserved
We
Ho.
We conclude that the mean consumption of water per household has
due to the campaign by the city council.
Transcribed Image Text:The mean consumption of water per household in a city was 1248 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 99 households was found to be 1166 cubic feet per month. The population standard deviation is given to be 219 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 α = 0.05? Round your answer to four decimal places. p-value = i We ✰ Ho. b. Make the test of part a using the critical-value approach and α = 0.05. Round your answer for z to two decimal places. Zobserved We Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.
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