Exam 12: Inference About a Population

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During a natural gas shortage, a gas company randomly sampled residential gas meters in order to monitor daily gas consumption. On a particular day, a sample of 100 meters showed a sample mean of 250 cubic feet and a sample standard deviation of 50 cubic feet. Provide a 90% confidence interval estimate of the mean gas consumption for the population.

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In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion p~\tilde { p } , we:

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The test statistic used to test hypotheses about the population variance has a(n) ____________________ distribution with ____________________ degrees of freedom.

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The formula (zα/2p~(1−p~)B)2\left( \frac { z _ { \alpha / 2 } \sqrt { \tilde{ p } ( 1 - \tilde { p } ) } } { B } \right) ^ { 2 } is used to find the sample size needed to estimate a population proportion. In this formula, B represents the ____________________ on the error of estimation.

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NARRBEGIN: New Mousetrap New Mousetrap After a financial analysis, the general manager of a large company decided that if more than 8% of potential buyers of a new mousetrap purchase that product, the company would show a profit. In a preliminary survey of 500 potential buyers, 56 people say that they will buy the mousetrap.NARREND -{New Mousetrap Narrative} Is there sufficient evidence at the 5% significance level that the mousetrap will produce a profit?

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The statistic (xˉ−μ)/(s/n)( \bar { x } - \mu ) / ( s / \sqrt { n } ) when the sampled population is normal is Student t-distributed with n degrees of freedom.

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Which of the following is not an example illustrating the use of variance?

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Which of the following would be an appropriate null hypothesis?

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NARRBEGIN: Concert Tickets Concert Tickets A simple random sample of 100 concert tickets was drawn from a normal population. The mean and standard deviation of the sample were $120 and $25, respectively.NARREND -{Concert Tickets Narrative} Test the hypothesis H0: μ\mu = 125 vs. H1: μ\mu≠\neq 125 at the 10% significance level.

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