Exam 12: Inference About a Population

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{Single Mothers' Ages Narrative} Test to determine if we can infer at the 5% significance level that the population mean is not equal to 20.

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If the lower and upper confidence limits of the population proportion p,using a sample of size 1500,are 0.184 and 0.238,respectively,then the lower and upper confidence limits of the total number of successes in the population,given that the population size is 750,000,are respectively:

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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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If a sample has 15 observations and a 95% confidence estimate for μ\mu is needed,the appropriate value of t is 1.753.

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In estimating the population mean μ\mu when the population size N is small,the confidence interval estimator of μ\mu is xˉ±ta/2⋅snN−nN−1\bar { x } \pm t _ { a / 2 } \cdot \frac { s } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } } .

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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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Pilots' Union Contract A union composed of several thousand pilots is preparing to vote on a new contract.A random sample of 500 pilots yielded 320 who planned to vote yes.It is believed that the new contract will receive more than 60% yes votes. -{Pilots' Union Contract Narrative} State the appropriate null and alternative hypotheses.

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The degrees of freedom for the test statistic for μ\mu when σ\sigma is unknown is:

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Healthy Foods In segmenting the frozen meal market in Spain,a food manufacturer uses health and diet consciousness as the segmentation variable.Four segments are developed and coded as follows: 1: Concermed about eating healthy faods 2: Concerned about weight 3: Concerned about health because of illnese 4: Unconcermed To distinguish between groups,surveys are conducted.On the basis of a questionnaire,people are categorized as belonging to one of these groups.A recent survey asked a random sample of 1,500 Spanish adults (20 and over)to complete the survey.Out of the 1,500 people surveyed,360 indicated that they are concerned about eating healthy foods.The most recent information available reveals that there are 40,256,000 Spanish adults who are 20 and over. -{Healthy Foods Narrative} What is the parameter we wish to estimate? Explain.

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