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The mean consumption of water per household in a city was 1231 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 started, the mean consumption of water for a sample of 97 households was found to be 1179 cubic feet per month. The population standard deviation is given to be 220 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 =
We
Ho.
b. Make the test of part a using the critical-value approach and a=0.01>
Round your answer for z to two decimal places.
z observed =
We H0.
We conclude that the mean consumption of water per household has due to the campaign by the city council.
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