Exam 12: Sampling Distributions, Sampling Distribution of the Mean: the Normal Deviate Z Test

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  = , regardless of the shape of the sampling distribution of the mean. = , regardless of the shape of the sampling distribution of the mean.

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The sampling distribution of the mean varies with the size of the sample.

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The mean attention span for adults in a certain village is 15 minutes with a standard deviation of 6.4. What is the probability of randomly selecting a sample of 30 scores from this population that has a mean attention span equal to or greater than 17 minutes?

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If a = 0.05 2 tail, the critical value of z is ±1.96.

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In cases where N > 1, the relationship between the raw score population standard deviation and the standard error is _________.

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Using a = 0.01 2 tail , test the hypothesis that the following sample could have been drawn from a population with µ = 27.2 and s = 2.1. X : 25.2, 29.9, 24.8, 26.0, 22.1

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If H0 is false, but power is low, there is a high probability we will err in our conclusion.

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The power of the z test increases with sample variability.

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For the means of size N = 2 in problem 24, what is the value for: For the means of size N = 2 in problem 24, what is the value for:

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For the population 2, 4, 6, 8, 10, For the population 2, 4, 6, 8, 10,   . .

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What are the characteristics of the sampling distribution of the mean?

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a + b = 1.00.

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What would one conclude about the null hypothesis that a sample of N = 46 with a mean of What would one conclude about the null hypothesis that a sample of N = 46 with a mean of   = 104 could reasonably have been drawn from a population with the parameters of = 100 and s = 8? Use a = 0.05 2 tail . = 104 could reasonably have been drawn from a population with the parameters of = 100 and s = 8? Use a = 0.05 2 tail .

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Which of the following apply to the sampling distribution of the mean?

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Explain why Explain why   should vary directly with s and inversely with N . should vary directly with s and inversely with N .

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Data analysis involving statistical inference basically involves _________.

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A set of sample scores from an experiment has an N = 28 and a mean = 52. H 1 is directional, predicting an effect of the independent variable which decreases the magnitude of the dependent variable. H 0 asserts the sample is a random sample from a population of scores where µ = 55 and s = 12. a = 0.051 tail. Using the z test to analyze the data, the power of the experiment to detect a real effect such that µ real = 53 is _________.

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Which of the following are true?

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If the population standard deviation is 19.0 and the sample size is 19, then the standard error equals _________.

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In general, if N ≥ 30, the sampling distribution of the mean will be normally shaped.

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