The old Farmer\'s Almanac stated that the average consumption of water per perso

Question

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 20 people and found that they used on average 117.9 gallons per day and s = 5.3. At alpha = 0.01, 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 approximately normally distributed. State the hypotheses and identify the claim with the correct hypothesis. H_0: mu = 123 H_1: mu notequalto 123 This hypothesis test is a two-tailed test. Compute the test value. Always round t score values to 3 decimal places. t = ____________

Explanation / Answer

Solution:

Part 1
a) Test Hypothesis H0: = 123
Ha: 123

Part 2
b) n = 20, x = 117.9 ,s = 5.3, = 0.01

t-statistic = (117.9-123)/(5.3/20) = -4.303 (df=19)
p-value = 2P(t < -4.303) = 0.0002

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