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Testing the 123-Gallon Daily Water Claim: Fact or Fiction?
Chapter 8, Problem 16(choose chapter or problem)
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 16 people and found that they used on average 119 gallons per day and s = 5.3. At \(\alpha\) = 0.05, is there enough evidence to say that the Old Farmers Almanac figure might no longer be correct? Use the P-value method.
Questions & Answers
QUESTION:
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 16 people and found that they used on average 119 gallons per day and s = 5.3. At \(\alpha\) = 0.05, is there enough evidence to say that the Old Farmers Almanac figure might no longer be correct? Use the P-value method.
ANSWER:Step 1 of 4
Significance level:
Denote appropriate null and alternative hypothesis from the claim given in the exercise:
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Testing the 123-Gallon Daily Water Claim: Fact or Fiction?
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Explore the claim that average daily water consumption is 123 gallons. Using statistical testing, we evaluate a new sample against the Old Farmer’s Almanac claim. Learn how to interpret p-values and t-scores in hypothesis testing.