Exam 10: Introduction to Estimation

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____________________ estimators do not have the capacity to reflect the effects of larger sample sizes.

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A random sample of 10 waiters in Weston,West Virginia,revealed the following hourly earnings,including tips: 19,18,15,16,18,17,16,18,20,and 14.(Units are dollars.) a.If the hourly earnings are normally distributed with a standard deviation of $4.50,estimate with 95% confidence the mean hourly earnings for all waitresses in Iowa City. b.Interpret your confidence interval.

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Define unbiasedness.

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Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

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To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed to be 4 and the maximum allowable sampling error is assumed to be 1,requires a random sample of size 62.

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Suppose an interval estimate for the population mean was 62.84 to 69.46.The population standard deviation was assumed to be 6.50,and a sample of 100 observations was used.The mean of the sample was:

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The sample ____________________ is relatively more efficient than the sample ____________________ when estimating the population mean.

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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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A confidence interval is defined as:

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In developing an interval estimate for a population mean,the population standard deviation σ was assumed to be 8.The interval estimate was 50.0 ± 2.50.Had σ equaled 16,the interval estimate would be 100 ± 5.0.

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College Dean A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200. ​ ​ -{College Dean Narrative} What sample size should be used if the standard deviation is changed to 50?

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The width of a confidence interval estimate of the population mean increases when the:

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The confidence level that is considered to be the standard amongst statisticians is ____________________%.

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Doubling the population standard deviation σ has the effect of doubling the width of the confidence interval estimate of μ.

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