Exam 10: Introduction to Estimation

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Given a mean of 2.1 and a standard deviation of 0.7, a 90% confidence interval will be 2.1 Given a mean of 2.1 and a standard deviation of 0.7, a 90% confidence interval will be 2.1   0.7. 0.7.

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The lower limit of the 90% confidence interval for μ\mu , where n = 64,  The lower limit of the 90% confidence interval for  \mu , where n = 64,   = 70, and  \sigma  = 20, is 65.89. = 70, and σ\sigma = 20, is 65.89.

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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. -{Time Spent Playing Computer Games Narrative} Determine the 95% confidence interval estimate of the population mean if the population standard deviation is changed to 1.2.

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The confidence ____________________ is the chance that the interval contains the parameter, over repeated sampling.

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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?

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Define consistency.

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An unbiased estimator of a population parameter is defined as:

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An engineer for an electric fencing company is interested in the mean length of wires being cut automatically by machine.The desired length of the wires is 12 feet.It is known that the standard deviation in the cutting length is 0.15 feet.Suppose the engineer decided to estimate the mean length to within 0.025 with 99% confidence.What sample size would be needed?

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An electronics retailer is interested in studying the incomes of consumers in a particular area.The population standard deviation is known to be $1,000.What sample size would the researcher need to use for a 95% confidence interval if the difference between UCL and LCL should not be more than $100?

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The sample size needed to estimate a population mean to within 50 units was found to be 97.If the population standard deviation was 250, then the confidence level used was

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To estimate the mean of a normal population whose standard deviation is 6, with a bound on the error of estimation equal to 1.2 and confidence level 99% requires a sample size of at least:

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The larger the confidence level, the:

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A confidence interval is defined as:

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The term 1- α\alpha 0 refers to:

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It is desired to estimate the average total compensation of CEOs in the publishing industry.Data were randomly collected from 18 CEOs and 95% confidence interval was calculated to be ($2,190,000, $4,720,000).Based on the interval above, do you believe the actual average total compensation of CEOs in the publishing industry could be $3,000,000?

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

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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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MN -{Conference Rooms Rented Narrative} During January, a sample of 16 days has a sample mean of 48 rooms.This information is used to calculate an interval estimate for the population mean to be from 40 to 56 rooms.What is the level of confidence of this interval?

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An unbiased estimator has an average value (across all samples) equal to the population parameter.

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