A Restaurant Chain Has Two Locations in a Medium-Sized Town

question 89

Multiple Choice

A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is considering closing one of the restaurants. The manager of the restaurant with a downtown location claims that his restaurant generates more revenue than the sister restaurant by the freeway. The CEO of this company, wishing to test this claim, randomly selects 36 monthly revenue totals for each restaurant. The revenue data from the downtown restaurant have a mean of $360,000 and a standard deviation of $50,000, while the data from the restaurant by the freeway have a mean of $340,000 and a standard deviation of $40,000. Assume there is no reason to believe the population standard deviations are equal, and let μ₁ and μ₂ denote the mean monthly revenue of the downtown restaurant and the restaurant by the freeway, respectively. Which of the following is the correct value of the test statistic to analyze the claim?

• A) t₆₆ = 1.848
• B) t₆₇ = 1.848
• C) t₆₆ = 1.874
• D) t₆₇ = 1.874

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Definitions:

Rate of Return

The profit or loss of an investment over a specified period, expressed as a percentage of the investment’s initial cost.

Present Value

The contemporary valuation of a future monetary sum or cash flow series, as determined by an agreed-upon rate of return.

Future Cash Flows

Estimated amounts of money expected to be received or paid out over future periods.

Cash Payback Method

A financial analysis method used to determine the time needed for an investment to generate cash flows sufficient to recover the initial investment cost.