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The manager of a downtown restaurant is interested in how much customers spend t

ID: 2915873 • Letter: T

Question

The manager of a downtown restaurant is interested in how much customers spend there at lunch time. He estimated the mean expenditure by taking a sample of 75 diners. He found the mean amount spent on lunch for these 75 people was $9.74. He reported a 95% confidence interval of ($9.08, $10.40). He could have also reported his results by saying, "I am 95% confident that my estimate of $9.74 differs from the true mean amount spent for lunch at this restaurant by no more than $____." What margin of error goes in the blank?

Explanation / Answer

0.66 This can be calculated either by $10.40-9.74 or $9.74-9.08.