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The U.S. Census Bureau reported that the average area of U.S. homes built in 2018 was...

The U.S. Census Bureau reported that the average area of U.S. homes built in 2018 was 2,623. square feet. A simple random sample of 38 homes, had an average of 2,715 square feet, with a standard deviation of 249 square feet. Assume the population is approximately normally distributed. Test the claim that the average square feet of homes built in 2019 is more than 2018 by conducting a hypothesis test at the .01 significant level?

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