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

question 27

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 plans to test this hypothesis using a random sample of 81 individuals from each suburb.His null hypothesis is __________.

• A) \(\sigma\)₁² < \(\sigma\)₂²
• B) \(\mu\)₁- \(\mu\)₂ >0
• C) p₁ - p₂ = 0
• D) \(\mu\)₁ - \(\mu\)₂ = 0
• E) s₁ - s₂ = 0

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Definitions:

Standard Deviation

A parameter that identifies the scale of variation or dispersion among data values relative to their average.

Binomial Random Variables

A type of random variable that arises from Bernoulli trials and describes the number of successes in a fixed number of trials.

Normal Approximation

Normal approximation is a statistical method that involves approximating a binomial distribution to a normal distribution under certain conditions, facilitating easier calculations.

Positively Skewed

A distribution of data where most values are concentrated on the left side, with a long tail extending to the right.