Exam 10: Introduction to Estimation

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A point estimate consists of a single sample statistic that is used to estimate the true population parameter.

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The sample size needed to estimate the population mean was found to be 865. If the value of the population standard deviation was 75, and the maximum allowable error was 5, then the confidence level used was 95%.

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The sample variance s2 is an unbiased estimator of the population variance σ\sigma 2 when the denominator of s2 is

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When determining the required sample size for a confidence interval, you need to know the population ____________________, the confidence ____________________, and the ____________________ on the error of estimation.

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

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A 95% confidence interval estimate for a population mean μ\mu is determined to be 75 to 85. If the confidence level is reduced to 80%, the confidence interval for μ\mu becomes wider.

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An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average expense of $15,000. What is the width of the 99% confidence interval?

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The temperature readings for 20 fall days (degrees Fahrenheit) in Wheeling, West Virginia, are normally distributed with a mean of 5.5 degrees and a standard deviation of 1.5 degrees. Determine the 90% confidence interval estimate for the fall mean temperature.

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A random sample of 10 university students was surveyed to help estimate the average amount of time students spent per week on their computers. The student hours spent using a personal computer over a randomly selected week were 13, 14, 5, 6, 8, 10, 7, 12, 15, 3. a.Find an unbiased estimator of the average time per week for all university students. b.Find an unbiased estimator of the variance. c.Find a consistent estimator of the average time per week for all university students.

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In the formula for a confidence interval for μ\mu , 1 - α\alpha is called the ____________________.

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A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual value of the population parameter will fall within the interval.

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Increasing the value of 1 - α\alpha narrows a confidence interval.

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If the population values are very close to each other, the width of the confidence interval is ____________________ than if the population values are very far apart.

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When determining the sample size necessary for estimating the true population mean, which factor is not of our concern when sampling with replacement?

(Multiple Choice)
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The sample ____________________ is relatively more efficient than the sample ____________________ when estimating the population mean.

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A specific confidence interval obtained from data will always correctly estimate the population parameter.

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A financial consultant wanted to determine the mean annual return on Bond funds. A random sample of 60 returns shows a mean of 12%. If the population standard deviation is assumed to be 4%, estimate with 95% confidence the mean annual return on all Bond funds.

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The bound on the error of estimation is the ____________________ amount of sampling error that we are willing to tolerate.

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The population mean is a(n) ____________________ but ____________________ quantity.

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A(n) ____________________ estimator of a population parameter is an estimator whose expected value is equal to that parameter.

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