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Golf Course Designer Roberto Langabeer Is Evaluating Two Sites, Palmetto σ\sigma

Question 31

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Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and Ocean Greens, for his next golf course. He wants to prove that Palmetto Dunes residents (population 1) play golf more often than Ocean Greens residents (population 2) . Roberto commissions a market survey to test this hypothesis. The market researcher used a random sample of 64 individuals from each suburb, and reported the following:  Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and Ocean Greens, for his next golf course. He wants to prove that Palmetto Dunes residents (population 1)  play golf more often than Ocean Greens residents (population 2) . Roberto commissions a market survey to test this hypothesis. The market researcher used a random sample of 64 individuals from each suburb, and reported the following:   <sub>1</sub> = 15 times per month and   <sub>2</sub> = 14 times per month. Assume that   \sigma <sub>1</sub> = 2 and   \sigma <sub>2</sub> = 3. With  \alpha =.01, the appropriate decision is ___. A)  reject the null hypothesis   \sigma <sub>1</sub><sup>2</sup> <   \sigma <sub>2</sub><sup>2</sup> B)  accept the alternate hypothesis  \mu <sub>1</sub><sub> -</sub>  \mu <sub>2</sub><sub> </sub>> 0 C)  reject the alternate hypothesis n<sub>1</sub> = n<sub>2</sub> = 64 D)  fail to reject the null hypothesis  \mu <sub>1</sub> -  \mu <sub>2</sub> > 0 E)  do nothing 1 = 15 times per month and  Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and Ocean Greens, for his next golf course. He wants to prove that Palmetto Dunes residents (population 1)  play golf more often than Ocean Greens residents (population 2) . Roberto commissions a market survey to test this hypothesis. The market researcher used a random sample of 64 individuals from each suburb, and reported the following:   <sub>1</sub> = 15 times per month and   <sub>2</sub> = 14 times per month. Assume that   \sigma <sub>1</sub> = 2 and   \sigma <sub>2</sub> = 3. With  \alpha =.01, the appropriate decision is ___. A)  reject the null hypothesis   \sigma <sub>1</sub><sup>2</sup> <   \sigma <sub>2</sub><sup>2</sup> B)  accept the alternate hypothesis  \mu <sub>1</sub><sub> -</sub>  \mu <sub>2</sub><sub> </sub>> 0 C)  reject the alternate hypothesis n<sub>1</sub> = n<sub>2</sub> = 64 D)  fail to reject the null hypothesis  \mu <sub>1</sub> -  \mu <sub>2</sub> > 0 E)  do nothing
2 = 14 times per month. Assume that σ\sigma 1 = 2 and σ\sigma 2 = 3. With α\alpha =.01, the appropriate decision is ___.


A) reject the null hypothesis σ\sigma 12 < σ\sigma 22
B) accept the alternate hypothesis μ\mu 1 - μ\mu 2 > 0
C) reject the alternate hypothesis n1 = n2 = 64
D) fail to reject the null hypothesis μ\mu 1 - μ\mu 2 > 0
E) do nothing

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