Question 8 (16 points)
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You are thinking of buying a branch of Chick-fil-A, but are wondering how much
income you can make. You randomly survey of 70 other Chick-fil-A stores to
determine their yearly net profit. In the survey, the average yearly net profit is
$83,238 with a standard deviation of $10,124.
a. (2 pt) The technical conditions for constructing a confidence interval have been
met. Explain why by referencing the appropriate Central Limit Theorem.
b. (3 pt) Construct a 95% confidence interval for the average yearly net profit. You
may round to the nearest dollar.
c. (2 pt) You have a goal of making $85,000/year off his new store. Does your
confidence interval lead you to believe it is possible that the average store makes
$85,000? Explain by referencing the confidence interval constructed in part b.