The American Water Works Association estimates that the average person in the Un
ID: 2907064 • Letter: T
Question
The American Water Works Association estimates that the average person in the United States uses 123 gallons of water per day. Suppo some researchers believe that more water is being used now and want to test to determine whe sample of Americans and carefully keep track of the water used by each sampemw a ther this is so. They randomly select a olwere sampled? What were the sample member for a day, then analyze the results by using a statistical computer software package. The output is given here. Assume a .05. H mean? Was thi these results? is a one- or two-tailed test? What was the result of the study? What decision could be stated about the null hypothesis from One-Sample Z: C1 Test of mu- 123 vs> 123 The assumed standard deviation 27.68 N Mean SE Mean 95% Lower Bound Z 40 132.360 4.38 p (123.78) 2.14 0.016 (Round your answers to 3 decimal places.) people were sampled Sample mean: This is a Lone -tailed test. Since the p-value is average water usage per person is Lgreater than 123 gallons. ,the decision is to Lreject the null hypothesis TheExplanation / Answer
Answer:
(i) 40 people were sampled.
(ii) sample mean=132.360
(iii) p-value=0.01617738 (corresponding to test statistic(z=2.14))
(iv) since the p-value is 0.016, the decision is to reject the null hypothesis. (because, since p-value(0.016) is less than the level of significance(0.05) then, in this case, we reject the null hypothesis.)
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