Golf Course Designer Roberto Langabeer Is Evaluating Two Sites, Palmetto $\bar { x }$

question 64

Multiple Choice

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: $\bar { x }$ ₁ = 15 times per month and $\bar { x }$ ₂ = 14 times per month.Assume that $\sigma$ ₁ = 2 and $\sigma$ ₂ = 3.With $\alpha$ = .01, the appropriate decision is _________________.

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

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Definitions:

Payoff

The return or financial gain received from an investment or decision.

Chicken

A domesticated bird commonly raised for its meat and eggs, and sometimes used as a symbol in games of bravery or conflict.

Payoff

Payoff refers to the return or reward received as a result of a particular action or decision, often used in the context of games and economic strategies.

Pure Strategy Equilibria

A solution concept in game theory where players choose a single strategy that maximizes their payoff given the strategies chosen by the other players.