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Chapter 12 The Normal Probability Model Active Learning Lecture Slides For use with Classroom Response Systems Copyright © 2014, 2011 Pearson Education, Inc. 1 The probability distribution of a normal random variable is the… A. binomial curve. B. Poisson curve. C. expected value curve. D. bell curve. Copyright © 2014, 2011 Pearson Education, Inc. 2 The probability distribution of a normal random variable is the… A. binomial curve. B. Poisson curve. C. expected value curve. D. bell curve. Copyright © 2014, 2011 Pearson Education, Inc. 3 Central Limit Theorem: The probability distribution of a sum of independent random variables of comparable variance tends to a normal distribution as the number of summed random variables decreases. A. True B. False Copyright © 2014, 2011 Pearson Education, Inc. 4 Central Limit Theorem: The probability distribution of a sum of independent random variables of comparable variance tends to a normal distribution as the number of summed random variables decreases. A. True B. False Copyright © 2014, 2011 Pearson Education, Inc. 5 The bell-shaped curve is… A. unimodal and symmetric. B. bimodal and symmetric. C. unimodal and asymmetric. D. bimodal and asymmetric. Copyright © 2014, 2011 Pearson Education, Inc. 6 The bell-shaped curve is… A. unimodal and symmetric. B. bimodal and symmetric. C. unimodal and asymmetric. D. bimodal and asymmetric. Copyright © 2014, 2011 Pearson Education, Inc. 7 The standard normal distribution has… A. mean = 1 and variance = 0 B. mean = 0 and variance = 1 C. mean = 0.5 and variance = 0 D. mean = 0.5 and variance = 1 Copyright © 2014, 2011 Pearson Education, Inc. 8 The standard normal distribution has… A. mean = 1 and variance = 0 B. mean = 0 and variance = 1 C. mean = 0.5 and variance = 0 D. mean = 0.5 and variance = 1 Copyright © 2014, 2011 Pearson Education, Inc. 9 In a normal distribution the larger the variance… A. the narrower the curve. B. the taller the curve. C. the wider the curve. D. all the above. Copyright © 2014, 2011 Pearson Education, Inc. 10 In a normal distribution the larger the variance… A. the narrower the curve. B. the taller the curve. C. the wider the curve. D. all the above. Copyright © 2014, 2011 Pearson Education, Inc. 11 The total area between the bell curve and the x-axis is… A. between 0 and 1. B. greater than 1. C. is less than 1. D. is exactly 1. Copyright © 2014, 2011 Pearson Education, Inc. 12 The total area between the bell curve and the x-axis is… A. between 0 and 1. B. greater than 1. C. is less than 1. D. is exactly 1. Copyright © 2014, 2011 Pearson Education, Inc. 13 The shaded portion of the area shown here is… A. P( X ≤ 1) B. P( X ≥ 0) C. P( 0 ≤ X ≤ 1) D. P( 0 ≥ X ≥ 1) Copyright © 2014, 2011 Pearson Education, Inc. 14 The shaded portion of the area shown here is… A. P( X ≤ 1) B. P( X ≥ 0) C. P( 0 ≤ X ≤ 1) D. P( 0 ≥ X ≥ 1) Copyright © 2014, 2011 Pearson Education, Inc. 15 The Empirical rule states that… A. about 2/3 of the data lies within 1 standard deviation of the mean. B. about 19/20 of the data lies within 2 standard deviation of the mean. C. almost all of the data lies within 3 standard deviation of the mean. D. all of the above. Copyright © 2014, 2011 Pearson Education, Inc. 16 The Empirical rule states that… A. about 2/3 of the data lies within 1 standard deviation of the mean. B. about 19/20 of the data lies within 2 standard deviation of the mean. C. almost all of the data lies within 3 standard deviation of the mean. D. all of the above. Copyright © 2014, 2011 Pearson Education, Inc. 17 Departures from normality typically are… A. multimodality and skewness. B. skewness and outliers. C. outliers and multimodality. D. multimodality, skewness, and outliers. Copyright © 2014, 2011 Pearson Education, Inc. 18 Departures from normality typically are… A. multimodality and skewness. B. skewness and outliers. C. outliers and multimodality. D. multimodality, skewness, and outliers. Copyright © 2014, 2011 Pearson Education, Inc. 19 A normal quantile plot that concentrates along the diagonal of the plot indicates that… A. a normal model is appropriate. B. a normal model is not appropriate. C. there is skewness in the data. D. there are outliers in the data. Copyright © 2014, 2011 Pearson Education, Inc. 20 A normal quantile plot that concentrates along the diagonal of the plot indicates that… A. a normal model is appropriate. B. a normal model is not appropriate. C. there is skewness in the data. D. there are outliers in the data. Copyright © 2014, 2011 Pearson Education, Inc. 21 Skewness measures the… A. normalcy of the data. B. lack of symmetry of the data. C. prevalence of outliers in the data. D. multimodality in the data. Copyright © 2014, 2011 Pearson Education, Inc. 22 Skewness measures the… A. normalcy of the data. B. lack of symmetry of the data. C. prevalence of outliers in the data. D. multimodality in the data. Copyright © 2014, 2011 Pearson Education, Inc. 23 Kurtosis measures the… A. normalcy of the data. B. lack of symmetry of the data. C. prevalence of outliers in the data. D. multimodality in the data. Copyright © 2014, 2011 Pearson Education, Inc. 24 Kurtosis measures the… A. normalcy of the data. B. lack of symmetry of the data. C. prevalence of outliers in the data. D. multimodality in the data. Copyright © 2014, 2011 Pearson Education, Inc. 25