Exam 10: Introduction to Estimation

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When estimating the population mean using a confidence interval, the sample mean is in the ____________________ of the interval.

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Which of the following statements is false regarding the sample size needed to estimate a population mean?

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If the population standard deviation is guesstimated, and it turned out to be smaller than you assumed, then the sample size you calculated is ____________________ than it needs to be.

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The librarian at the New York City Public Library has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is:

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Determine the sample size that is required to estimate a population mean to within 0.4 units with a 99% confidence when the population standard deviation is 1.75.

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Knowing that an estimator is unbiased only assures us that its expected value equals the parameter, but it does not tell us how close the estimator is to the parameter.

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NARRBEGIN: Time Spent Playing Comput Time Spent Playing Computer Games Suppose that the amount of time teenagers spend playing computer games per week is normally distributed with a standard deviation of 1.5 hours. A sample of 100 teenagers is selected at random, and the sample mean computed as 6.5 hours.NARREND -{Time Spent Playing Computer Games Narrative} Interpret the 95% confidence interval for this situation.

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The term 1 - α\alpha refers to the probability that a confidence interval does not contain the population parameter.

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One can reduce the width of a confidence interval by taking a smaller sample size.

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A confidence interval is defined as:

(Multiple Choice)
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The smallest number in a confidence interval is abbreviated by ____________________.

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If the bound on the error of estimation decreases, the sample size ____________________.

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