Exam 9: Sampling Distributions

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In a given year,the average annual salary of a NHL hockey player was $205,000 with a standard deviation of $24,500.If a simple random sample of 50 players was taken,what is the probability that the sample mean will exceed $210,000?

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If a simple random sample of 300 observations is taken from a population whose proportion p = 0.6,then the expected value of the sample proportion p^\hat { p } is 0.60.

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A sample of 250 observations is selected at random from an infinite population.Given that the population proportion is .25,the standard error of the sampling distribution of the sample proportion is:

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If all possible samples of size n are drawn from an infinite population with a mean of μ\mu and a standard deviation of σ\sigma ,then the standard error of the sample mean is inversely proportional to:

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Which of the following is true regarding the sampling distribution of the mean for a large sample size? Assume the population distribution is not normal.

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If the sample size increases,the standard error of the mean also increases.

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If all possible samples of size n are drawn from a population,the probability distribution of the sample mean Xˉ\bar { X } is called the:

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The standard error of the mean:

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The standard deviation of p^\hat { p } is also called the:

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If two random samples of sizes n1 and n2 are selected independently from two populations with means μ\mu 1 and μ\mu 2,then the mean of Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 } equals:

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