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Active Learning Lecture Slides For use with Classroom Response Systems Chapter 5: Normal Probability Distributions Elementary Statistics: Picturing the World Fourth Edition by Larson and Farber Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Find the probability using the standard normal distribution. P(z < 1.49) A. 0.9319 B. 0.0681 C. 0.6879 D. 0.3121 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 2 Find the probability using the standard normal distribution. P(z < 1.49) A. 0.9319 B. 0.0681 C. 0.6879 D. 0.3121 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 3 Find the probability using the standard normal distribution. P(z ≥ –2.31) A. 0.0104 B. 0.0087 C. 0.9896 D. 0.9913 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 4 Find the probability using the standard normal distribution. P(z ≥ –2.31) A. 0.0104 B. 0.0087 C. 0.9896 D. 0.9913 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 5 Find the probability using the standard normal distribution. P(–2.14 < z < 0.95) A. 0.1170 B. 0.0681 C. 0.1873 D. 0.8127 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 6 Find the probability using the standard normal distribution. P(–2.14 < z < 0.95) A. 0.1170 B. 0.0681 C. 0.1873 D. 0.8127 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 7 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score greater than 120. A. 0.9082 B. 0.0918 C. 0.6293 D. 0.3707 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 8 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score greater than 120. A. 0.9082 B. 0.0918 C. 0.6293 D. 0.3707 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 9 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score between 100 and 120. A. 0.9082 B. 0.0918 C. 0.4082 D. 0.5918 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 10 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score between 100 and 120. A. 0.9082 B. 0.0918 C. 0.4082 D. 0.5918 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 11 Find the z-score that has 2.68% of the distribution’s area to its right. A. z = 0.9963 B. z = –1.93 C. z = –0.0037 D. z = 1.93 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 12 Find the z-score that has 2.68% of the distribution’s area to its right. A. z = 0.9963 B. z = –1.93 C. z = –0.0037 D. z = 1.93 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 13 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What IQ score represents the 98th percentile? A. 131 B. 69 C. 113 D. 145 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 14 IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What IQ score represents the 98th percentile? A. 131 B. 69 C. 113 D. 145 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 15 A population has a mean of 80 and a standard deviation of 12. Samples of size 36 are selected from the population. Describe the sampling distribution of x . A. Normal, x 80, x 2 B. Normal, x 80, x 12 C. Approximately normal, x 80, x 2 D. Approximately normal, x 80, x 12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 16 A population has a mean of 80 and a standard deviation of 12. Samples of size 36 are selected from the population. Describe the sampling distribution of x . A. Normal, x 80, x 2 B. Normal, x 80, x 12 C. Approximately normal, x 80, x 2 D. Approximately normal, x 80, x 12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 17 American children watch an average of 25 hours of television per week with a standard deviation of 8 hours. A random sample of 40 children is selected. What is the probability the mean number of hours of television they watch per week is less than 22? A. 0.3520 B. 0.0089 C. 0.9911 D. 0.6480 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 18 American children watch an average of 25 hours of television per week with a standard deviation of 8 hours. A random sample of 40 children is selected. What is the probability the mean number of hours of television they watch per week is less than 22? A. 0.3520 B. 0.0089 C. 0.9911 D. 0.6480 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 19 Use a correction for continuity to convert the following interval to a normal distribution interval. The probability of getting at least 80 successes A. x > 80.5 B. x > 79.5 C. x < 80.5 D. x < 79.5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 20 Use a correction for continuity to convert the following interval to a normal distribution interval. The probability of getting at least 80 successes A. x > 80.5 B. x > 79.5 C. x < 80.5 D. x < 79.5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 21