Slide 6- 1 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response Systems Elementary Statistics Tenth Edition and the Triola Statistics Series by Mario F. Triola Chapter 6 Normal Probability Distributions Slide 6- 2 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of losing less than 10 pounds. A. 5/7 B. 2/3 C. 1/3 D. 1/6 Slide 6- 3 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of losing less than 10 pounds. A. 5/7 B. 2/3 C. 1/3 D. 1/6 Slide 6- 4 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A recent survey based upon a random sample of 420 voters, predicted that the Independent candidate for the mayoral election will get 24% of the vote, but he actually gets 27%. Can you conclude that the survey was done incorrectly? A. Yes B. No Slide 6- 5 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A recent survey based upon a random sample of 420 voters, predicted that the Independent candidate for the mayoral election will get 24% of the vote, but he actually gets 27%. Can you conclude that the survey was done incorrectly? A. Yes B. No Slide 6- 6 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley If Z is a standard normal variable, find the probability that Z lies between 0.7 and A B C D Slide 6- 7 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley If Z is a standard normal variable, find the probability that Z lies between 0.7 and A B C D Slide 6- 8 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A final exam in Math 160 has a mean of 73 with a standard deviation of 7.8. If 24 students are randomly selected, find the probability that he mean of their test scores is less than 70. A B C D Slide 6- 9 Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A final exam in Math 160 has a mean of 73 with a standard deviation of 7.8. If 24 students are randomly selected, find the probability that he mean of their test scores is less than 70. A B C D Slide Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley For a normal distribution with n = 53 and p =.7, state whether or not it is suitable to use the normal distribution as an approximation? A. Normal approximation is not suitable. B. Normal approximation is suitable. Slide Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley For a normal distribution with n = 53 and p =.7, state whether or not it is suitable to use the normal distribution as an approximation? A. Normal approximation is not suitable. B. Normal approximation is suitable.