Exam 8: Sampling Distributions

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A simple random sample of 300 observations is taken from a population whose proportion A)What is the expected value of the sample proportion p? B)What is the standard error of the sample proportion p? C)What is the probability that the sample proportion p will be within ± \pm 0.02 of the population proportion π\pi ?

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Why is the central limit theorem basic to the concept of statistical inference?

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In a given year,the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500.If a sample of 50 players was taken,then probability that the sample mean will be $192,000 or more is:

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A videocassette rental store wants to know what proportion of its stock should include the Beta format VCR.A random sample of the owners of VCRs is suggested.Five hundred VCR owners are asked if they own the Beta or VHS format.Out of 500 interviewed,125 were owners of the Beta format.Presume that the true population proportion of Beta format VCRs is π\pi = 0.32.What is the probability that the sample proportion p will be within 0.04 of the true proportion of Beta format ownership?

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Vehicles Four families live on a cul-de-sac represent a very small population.The number of vehicles owned by each family is shown below: Family = Number of ve hicles Ali 1 Brown 1 Cosby 2 Davis 3 -Describe the sampling distribution of sample means. Distribution is: Mean: SD:

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A videocassette rental store wants to know what proportion of its stock should include the Beta format VCR.A random sample of the owners of VCRs is suggested.Five hundred VCR owners are asked if they own the Beta or VHS format.Out of 500 interviewed,125 were owners of the Beta format.Presume that the true population proportion of Beta format VCRs is π\pi = 0.32.Describe the sampling distribution of the proportion of Beta format ownership. Distribution is: Mean: SD:

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Vehicles Four families live on a cul-de-sac represent a very small population.The number of vehicles owned by each family is shown below: Family = Number of vehicles Ali 1 Brown 1 Cosby 2 Davis 3 -Calculate the population mean.

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Historically,a company that mails its monthly catalog to potential customers receives orders from 8 percent of the addresses.If 500 addresses are selected randomly from the last mailing,what is the probability that between 35 and 50 orders were received from this sample?

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