Exam 8: Sampling Distributions

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A sample of size n is selected at random from an infinite population. As n increases, the standard error of the sample mean increases.

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A sample of size 200 is taken at random from an infinite population. Given that the population proportion is 0.60, the probability that the sample proportion is between 0.58 and 0.62 is:

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The standard error of the mean for a sample of 100 is 25. In order to cut the standard error of the mean in half (to 12.5) we must:

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If all possible samples of size n are drawn from an infinite population with standard deviation 8, then the standard error of the sample mean equals 1.0 if the sample size is 64.

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A sample of 250 observations is selected at random from an infinite population. Given that the population proportion is .25, the standard error of the sampling distribution of the sample proportion is:

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A randomly selected value of A randomly selected value of   is likely to be ____________________ to(than) the mean of the population than is a randomly selected value of X. is likely to be ____________________ to(than) the mean of the population than is a randomly selected value of X.

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As the size of the sample is increased, the mean of As the size of the sample is increased, the mean of   increases. increases.

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