The American Water Works Association reports that the per capita water use in a single-family home is 72 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-eight owners responded, and the sample mean water use per day was 67 gallons with a standard deviation of 9.0 gallons per day. |
At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average? |
a. |
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) |
Reject H0: μ ≥ 72 and fail to reject H1: μ < 72 when the test statistic is (Click to select)less thanmore than . |
b. |
The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) |
c. | What is your decision regarding H0? | ||||
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