Ch 10.2 practice worksheet
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Ch 10.2 Practice Worksheet
Pure Element Water Company is trying to find the most efficient way to
deliver water to its customers and needs to know the average number of gallons that an Amarillo household consumes per week. The owner of Pure Element claims that the average number of gallons consumed in a week is 8.5. He takes a random sample of his customers during the year and finds that the average number of gallons consumed is 7.24. Write the null and alternative hypotheses: H0: µ = 8.5
H1: µ ≠ 8.5
Suppose that the critical value is 2.04 for an α = .05. He takes a random sample of his customers during the year and finds that the average number of gallons consumed is 7.24. If the test statistic is 1.88, what should he conclude?
There is insufficient evidence to conclude that the mean is not 8.5
The owner of Pure Element also wants to know if there is a difference in the average amount of gallons consumed for his customers vs. AquaOne customers. He takes a random sample of AquaOne customers and finds a mean of 5.24 gallons.
Write the null and alternative hypotheses: H0: µP = µA
H1: µP ≠ µA
Suppose that at an α = .05, we find a p value of .046. This means that the probability of difference between the two groups given that they are the same is .046. What should he conclude? There is sufficient evidence to say that there is a difference between the two means
He constructs a 95% confidence interval for the difference between the
average amount consumed for his customers vs. Sierra Springs Water: [-1.04, 2.99]. What should he conclude?
He should conclude that there is a possibility they are the same; there is insufficient evidence to conclude that there is a difference in the two companies
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