Water Consumption The Old Farmer's Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 17people and found that they used on average 118.4 gallons per day and s = 5.3. At α = 0.05, is there enough evidence to say that the Old Farmer's Almanac figure might no longer be correct? Use the P-value method. Assume the population is normally distributed. Use a TI-83 Plus/TI-84 Plus calculator. (a) State the hypotheses and identify the claim. (b) Find the P-value. Round the answer to at least four decimal places. (c) Make the decision. (d) Summarize the results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Water Consumption The Old Farmer's Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 17people and found that they used on average 118.4 gallons per day and s = 5.3. At α = 0.05, is there enough evidence to say that the Old Farmer's Almanac figure might no longer be correct? Use the P-value method. Assume the population is normally distributed. Use a TI-83 Plus/TI-84 Plus calculator.

(a) State the hypotheses and identify the claim.

(b) Find the P-value. Round the answer to at least four decimal places.

(c) Make the decision.

(d) Summarize the results. 

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