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In: Statistics and Probability

A researcher new to the Tucson area was shocked when she received her first summer electric...

A researcher new to the Tucson area was shocked when she received her first summer electric bill. She believes that energy bills vary dramatically depending on where you live in the United States and sets out to test her claim. She samples 36 people from the Northeast, 100 people from the Southeast, 81 people from the Midwest, and 200 people from the West. She finds the following average annual energy bills from each region: Northeast: $1,159.26 Southeast: $1,202.51 Midwest: $1,300.04 West: $1,199.99

She conducts an ANOVA test in Excel which returns a p-value of 0.0005 with an MSE = 94.12. She rejects the null hypothesis and concludes that there is some difference in the average annual electric bill based on the region.

Calculate a 95% Fisher’s confidence interval between the West and Northeast. Let the West be population 1 and the Northeast be population 2 in the formula. Round your answer to 2 decimals.

Calculate a 95% Fisher’s confidence interval between the West and Southeast. Let the West be population 1 and the Southeast be population 2 in the formula. Round your answer to 2 decimals.

Calculate a 95% Fisher’s confidence interval between the West and Midwest. Let the West be population 1 and the Midwest be population 2 in the formula. Round your answer to 2 decimals.

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Expert Solution

orchestra answered 2 years ago
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