Exam 11: Random Sampling and Sampling Distributions

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The correct formula for the standard error of the mean is

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A sociologist engaged in research on religious attitudes tells her assistant to select a random sample of ten members for interviews from a large suburban church. The sample selected consists of nine women and one man. Upon seeing the uneven distribution of sexes in the sample, the sociologist complains, "This sample can't be random: it's almost all women." Any comments?

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If the population consists of four scores: 5, 6, 7, and 8, and we are told that a sample of three scores from this population is: 7, 8, 8, we know that

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A large population of peer ratings of physical attractiveness is approximately normal with A large population of peer ratings of physical attractiveness is approximately normal with       and       We plan to select a random sample of four ratings from this population. What is the probability of obtaining a sample mean  (a) above 6.0 (b)below 4.0 (c)between the population mean and .5 above the mean (d)no more than .5 away from the population mean (in either direction) (e)What sample mean has such a low value that the probability is .05 of obtaining one as low or lower? (f)What are the centrally placed limits such that the probability is .95 that the sample mean will fall within those limits? and A large population of peer ratings of physical attractiveness is approximately normal with       and       We plan to select a random sample of four ratings from this population. What is the probability of obtaining a sample mean  (a) above 6.0 (b)below 4.0 (c)between the population mean and .5 above the mean (d)no more than .5 away from the population mean (in either direction) (e)What sample mean has such a low value that the probability is .05 of obtaining one as low or lower? (f)What are the centrally placed limits such that the probability is .95 that the sample mean will fall within those limits? We plan to select a random sample of four ratings from this population. What is the probability of obtaining a sample mean (a) above 6.0 (b)below 4.0 (c)between the population mean and .5 above the mean (d)no more than .5 away from the population mean (in either direction) (e)What sample mean has such a low value that the probability is .05 of obtaining one as low or lower? (f)What are the centrally placed limits such that the probability is .95 that the sample mean will fall within those limits?

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