Exam 7: Sampling Distributions

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Assume that house prices in a neighborhood are normally distributed with a standard deviation of$20,000.A random sample of 16 observations is taken.What is the probability that the sample mean differs from the population mean by more than $5,000?

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SCENARIO 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Scenario 7-4, 90% of the samples will have less than what percentage of customers who will make a purchase after visiting the web site?

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The amount of tea leaves in a can from a production line is normally distributed with μ=110\mu = 110 grams and σ=25\sigma = 25 grams.A sample of 25 cans is to be selected.So, the middle 70% of allsample means will fall between what two values?

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The standard error of the population proportion will become larger

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A sample of size 25 provides a sample variance of 400.The standard error, in this case equal to 4, is best described as the estimate of the standard deviation of means calculated from samples of size 25.

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A sampling distribution is a distribution for a statistic.

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If the population distribution is symmetric, the sampling distribution of the mean can be approximated by the normal distribution if the samples contain 15 observations.

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