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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

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?

  1. What is the decision rule?(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Reject H0: 72 and fail to reject H1: < 72 when the test statistic is less than

2.Compute the value of the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

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