Exam 15: Sample Size and Statistical Theory

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Which of the following factors does sample size depend on?

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If we wanted to be 95 percent confident that we wouldn't make an error of more than 1 unit in our estimate of If we wanted to be 95 percent confident that we wouldn't make an error of more than 1 unit in our estimate of   for  = 2), we would need a sample size of approximately 16. for If we wanted to be 95 percent confident that we wouldn't make an error of more than 1 unit in our estimate of   for  = 2), we would need a sample size of approximately 16.= 2), we would need a sample size of approximately 16.

(True/False)
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When a complex multi-stage design is involved, a common approach is to replicate the entire sampling plan and get various independent estimates of the sample mean.

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Let the variance of a normally distributed random sample be 16.A point that is 8 units away from the mean is

(Short Answer)
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Assume that Assume that   is distributed normally with   = 0,  <sup>2</sup> = 1.What is Pz = 1)? is distributed normally with 11efcb9a_a811_8fc8_b057_bbe19516e4bb_TB7490_00 = 0, 11efcb9a_a811_8fc8_b057_bbe19516e4bb_TB7490_002 = 1.What is Pz = 1)?

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The sample mean is not known, but it can be estimated from the population characteristics.

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The distribution which we say always assume to be "normal" or bell shaped is the a) sampling distribution b) population distribution c) sample distribution d) variance distribution e) standard distribution

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If the population variance is 4, the sample standard deviation must be 2.

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Bo Derek calculates that she needs a sample size of 200, given the estimated mean, accuracy variance and required Z-score.However, she learns that the variance is actually one-half of what she originally believed.Her required sample size will now be a) 100 b) 800 c) 400 d) 50 e) none of the above

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Which of the following statements is true?

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The probability that X1 will exceed 9 ounces is closest to

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a 90 percent confidence interval cannot be determined

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a point such that the probability of getting any other

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Before the sample is drawn, the probability that the sample mean will exceed 9 ounces is closest to

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The two population characteristics of most interest to researchers are The two population characteristics of most interest to researchers are   and The two population characteristics of most interest to researchers. and The two population characteristics of most interest to researchers.

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A researcher takes a modest sample and, if results are worthwhile, opts for a larger sample.This type of sampling is called sequential sampling.

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What happens to the standard deviation of the sample mean, if we change the sample size from 25 to 100?

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A market research firm has been engaged to do a study of dishwashing detergents preferred by homemakers in San Francisco 800,000 population) as compared to those preferred in New York 8,000,000 population).In order to obtain results of about equal reliability in each city, the number of homemakers polled in New York should be

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If all members of the population have identical opinions on an issue, a sample of one is unsatisfactory.

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The standard error of the mean is the same as the a) standard deviation of the population b) standard deviation of the normal distribution c) standard deviation of the sampling distribution d) none of the above

(Short Answer)
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