Exam 8: Confidence Interval Estimation

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The upper limit of the 90% confidence interval for the population proportion p,given that n = 100; and The upper limit of the 90% confidence interval for the population proportion p,given that n = 100; and   = 0.20 is 0.2658. = 0.20 is 0.2658.

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The lower limit of the 95% confidence interval for the population proportion p,given that n = 300; and The lower limit of the 95% confidence interval for the population proportion p,given that n = 300; and   = 0.10 is 0.1339. = 0.10 is 0.1339.

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The chi-square and F-distributions are used primarily to make inferences about population ____.

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If a sample has 20 observations and a 95% confidence estimate for If a sample has 20 observations and a 95% confidence estimate for   is needed,the appropriate value of t-multiple is 2.093 is needed,the appropriate value of t-multiple is 2.093

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The value of the standard error of the difference between sample proportions depends on the sample proportion from each of the two populations as well as the sample size selected from each population.

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As the sample size increases,the t-distribution becomes more similar to the _____ distribution.

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The mean of the sampling distribution of the sample proportion The mean of the sampling distribution of the sample proportion   ,when the sample size n = 100 and the population proportion p = 0.15,is 15.0. ,when the sample size n = 100 and the population proportion p = 0.15,is 15.0.

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You are told that a random sample of 150 people from Iowa has been given cholesterol tests,and 60 of these people had levels over the "safe" count of 200.Construct a 95% confidence interval for the population proportion of people in Iowa with cholesterol levels over 200.

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The t-distribution and the standard normal distribution are practically indistinguishable as the degrees of freedom increase.

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After calculating the sample size needed to estimate a population proportion to within 0.05,you have been told that the maximum allowable error (B)must be reduced to just 0.025.If the original calculation led to a sample size of 1000,the sample size will now have to be

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The necessary sample size can only be determined for estimation problems regarding proportions because we do not know the value of the population standard deviation needed to calculate the necessary sample size for problems dealing with a population mean(s).

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Samples of exam scores for employees before and after a training class are examples of paired data.

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The 95% confidence interval for the population mean The 95% confidence interval for the population mean   ,given that the sample size n = 49 and the population standard deviation   = 7,is   . ,given that the sample size n = 49 and the population standard deviation The 95% confidence interval for the population mean   ,given that the sample size n = 49 and the population standard deviation   = 7,is   . = 7,is The 95% confidence interval for the population mean   ,given that the sample size n = 49 and the population standard deviation   = 7,is   . .

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The general form of a confidence interval is

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When samples of size n are drawn from a population,then the sampling distribution of the sample mean When samples of size n are drawn from a population,then the sampling distribution of the sample mean   is approximately normal,provided that n is reasonably large. is approximately normal,provided that n is reasonably large.

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Suppose that we want to estimate the difference in the proportion of all men and women that favor a homeless shelter opening up in their community.We should use a confidence interval for a difference between two population means to create our estimate.

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We can form a confidence interval for the population total T by finding a confidence interval for the population mean We can form a confidence interval for the population total T by finding a confidence interval for the population mean   in the usual way,and then multiplying the lower and upper limits the confidence interval by the population size N. in the usual way,and then multiplying the lower and upper limits the confidence interval by the population size N.

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From a sample of 500 items,30 were found to be defective.The point estimate of the population proportion defective will be

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What is an example of a problem in which the sample data is likely to be paired?

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The number of degrees of freedom needed to construct 90% confidence interval for the difference between means when the data are gathered from paired samples,with 15 observations in each sample,is

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