A real estate agent believes that the average closing cost of purchasing a new home is $6,500 over the purchase price. She selects 40 new home sales at random and finds that the average closing costs are $6,600. The standard deviation of the population is $120. Test her belief at a=0.05. Find a 95% confidence interval for the claim and show that it supports the results of the hypothesis

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A real estate agent believes that the average closing cost of purchasing a new home is $6,500 over the purchase price. She selects 40 new home sales at random and finds that the average closing costs are $6,600. The standard deviation of the population is $120. Test her belief at a=0.05. Find a 95% confidence interval for the claim and show that it supports the results of the hypothesis.

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