Exam 10: Probability and Sampling Distributions

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In a 95 percent confidence interval:

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D

Suppose a survey is conducted of all of the licensed therapists in Illinois regarding their attitudes about evidence-based practice.If the survey seeks to generalize about therapists' attitudes nationwide, then for this study the survey participants comprise a:

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The term parameter

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C

Theoretical sampling distributions enable us to estimate our likely degree of sampling error.

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Suppose you flipped a coin three times.The probability of getting three heads would be:

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The standard error equals the standard deviation of the sample divided by the square root of the sample size.

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According to the central limit theorem:

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As sample size increases:

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If your caseload is comprised of 10 clients, and your agency's total caseload contains 100 clients, and your agency director chooses one client at random to serve as a consumer representative on your agency's board, then the probability that one of your clients will be chosen is.05.

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If the sample size is 4000, and the standard deviation of the sample is 200, then the standard error is:

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Inferential statistics can be used to generalize from sample statistics to population parameters.

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If the sample mean equals 100, and the standard error equals 5, then we can be 95 percent confident that the population mean falls somewhere between 95 and 105.

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The term parameter is used instead of statistic when referring to a summary statistic for an entire population.

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The term chance refers to sampling errors that inevitably occur in random sampling.

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The term chance:

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As sample size increases, the probability of flukes in random selection or random assignment increases.

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The standard error:

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Suppose your agency serves 100 clients, and 40 of them are African Americans.The probability of selecting two African Americans on your first two random picks would be:

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Inferential statistics:

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If the probability that Jack will be assigned to the experimental group is .50, and the probability that Jill will be assigned to the experimental group is also .50, then the probability that both Jack and Jill will be assigned to the experimental group is .50.

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