Exam 15: Sample Size and Statistical Theory

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a point such that the probability of getting any other

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point further from the mean is less than 0.025.

A college dean wants to determine the average time it takes a student to get from one class to the next.Preliminary studies have shown that it is reasonable to let A college dean wants to determine the average time it takes a student to get from one class to the next.Preliminary studies have shown that it is reasonable to let  <sub>t</sub> = 1.5 minutes the standard deviation of class travel times).What is the sample size which should be examined if the dean wants to assert with a probability of 95 percent that his estimate, the mean time of the random sample, will not be off by more than .25 minutes in either direction)? Choose the closest answer.t = 1.5 minutes the standard deviation of class travel times).What is the sample size which should be examined if the dean wants to assert with a probability of 95 percent that his estimate, the mean time of the random sample, will not be "off" by more than .25 minutes in either direction)? Choose the closest answer.

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A 95 percent confidence interval will be smaller than a 90 percent confidence interval.

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Two samples are drawn from the same population with a known variance, Two samples are drawn from the same population with a known variance,  <sup>2</sup>.If the sample sizes are 100 and 400, then the standard error of the mean of the former sample will be half that of the latter.2.If the sample sizes are 100 and 400, then the standard error of the mean of the former sample will be half that of the latter.

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As the sample size becomes larger, the mean of the sampling distribution becomes a) greater than the population mean b) smaller than the population mean c) equal to the population mean d) double that of the population mean

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The size of a sample can be determined only by using statistical techniques.

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It is estimated that the proportion of Californians in favor of Proposition 5 is between 0.4 and 0.6.The sponsors of the proposition would like to sample Californians and get a 95 percent confidence interval for the true proportion of people in favor of Proposition 5.They want to restrict the error level to 5 percentage points.The required sample size is then

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a 95 percent confidence interval indicates the range a.1 b.2 c.3 d.4 e.1 and 2

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The standard error of the sample mean is

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The sample variance, S2, can be used to estimate the population variation.

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a 90 percent confidence interval will be 9.36 and 10.64,

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Consider the following data: _ X = 10 Consider the following data: _ X = 10  = 4 n = 25 The lower and upper limits of= 4 n = 25 The lower and upper limits of

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If two random samples of equal size are drawn from the same population, we should expect the mean of both samples to be identical.

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It does not make sense to use disproportionate sampling if one of the subgroups of the population is a relatively small percentage of the population

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If the allowed error is increased, the required sample size would decrease.

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ABC Incorporated wants to find out the proportion of customers who would purchase their new product.They have decided to take a modest sample, look at the results, and then decide if more information, in the form of a larger sample, is needed.ABC is using

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The probability that X8 is between 495 and 505 pounds is closest to

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a point such that the probability of getting any other

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Which of the following factors does the interval estimate depends on? sample size? a) sample size b) confidence level c) population standard deviation d) all of the above

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The probability that the sample mean lies between 498 and 502 is closest to

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