Exam 9: Introduction to Estimation

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The sample variance (where you divide by n - 1)is an unbiased estimator of the population variance.

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The sample variance s 2 is an unbiased estimator of the population variance s 2 when the denominator of s 2 is

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

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Socialist Party Voters A pollster in Italy wants to challenge a claim that 5% of the registered voters in his country are Socialists; he thinks the percentage is lower than that. In a test of hypothesis, H 0: p = 0.05 vs. H 1: p {Socialist Voters Narrative} Construct a 95% confidence interval estimate of the population proportion and explain how to use it to test the hypotheses.

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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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Estimating or testing for p is used in situations when the data are ____________________.

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When determining the sample size needed for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be:

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Define consistency.

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The formula The formula   is used to find the ____________________ to estimate a population proportion. is used to find the ____________________ to estimate a population proportion.

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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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The test statistic for p is approximately normal when ____________________ and ____________________ are both greater than 5.

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Socialist Party Voters A pollster in Italy wants to challenge a claim that 5% of the registered voters in his country are Socialists; he thinks the percentage is lower than that. In a test of hypothesis, H 0: p = 0.05 vs. H 1: p {Socialist Voters Narrative} Compute the p -value and explain how to use it to test the hypotheses.

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The sample variance s 2 is an unbiased estimator of the population variance s 2 when the denominator of s 2 is n .

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If there are two unbiased estimators of the same parameter, the one whose variance is smaller is said to be relatively more ____________________.

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

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An estimator is said to be consistent if:

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The use of the standard normal distribution for constructing confidence interval estimate for the population proportion p requires:

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From a sample of 400 items, 14 are found to be defective. The point estimate of the population proportion defective will be:

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The problem with relying on a point estimate of a population parameter is that:

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The error of estimation is the ____________________ between an estimator and the parameter.

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