This document provides instructions for using an Excel template to solve problems involving the normal distribution. It discusses using the template to find probabilities related to the heights of 12-year-old boys, which are normally distributed with a mean of 64 inches and standard deviation of 5 inches. The template can also be used to find z-scores for the standard normal distribution. Practice with examples is recommended to learn to properly use the template.

1. B HeardBonus Lecture for ProblemsDealing with the Normal DistributionStatistics For Decision MakingNot to be used, posted, etc. without my expressed permission. B Heard

2. No Audio with this presentation, but this should be very helpful – trust me

3. In looking at the normal distribution, we are going to learn to use a template based on the normal distribution

4. We will work on a problem related to the height of 12 year-old boysNormal Distribution Bonus LectureNot to be used, posted, etc. without my expressed permission. B Heard

5. Normal Distribution Bonus LectureBefore we get started go to:http://highered.mcgraw-hill.com/sites/0070620164/student_view0/excel_templates.htmland download (Save) the “Normal Distribution” Excel FileNot to be used, posted, etc. without my expressed permission. B Heard

6. Normal Distribution Bonus LectureNow on your computer open the file you saved

7. The first thing you need to do is go to the Review Tab and click “Unprotect Sheet” Not to be used, posted, etc. without my expressed permission. B Heard

8. Normal Distribution Bonus LectureNow your template should look like thisNot to be used, posted, etc. without my expressed permission. B Heard

9. Normal Distribution Bonus LectureLet’s say that we have data to prove that 12 year-old boys heights are normally distributed with:

10. Mean = 64 inches

11. Standard Deviation = 5 inches

12. Let’s enter those values in the template and clear the old data left in the original template example. Your template should now look like the one that follows on the next slide.Not to be used, posted, etc. without my expressed permission. B Heard

13. Normal Distribution Bonus LectureNot to be used, posted, etc. without my expressed permission. B Heard

14. Normal Distribution Bonus LectureUsing the template we are going to answer the following questions:What is the probability that a 12 year-old boy is shorter than 58 inches?What is the probability that a 12 year-old boy is taller than 67 inches?What is the probability that a 12 year-old boy is between 60 and 66 inches tall?What height marks the top 10% of 12 year-old boys?50% of all 12 year-old boys are between what two heights (equally distributed from the mean)?Not to be used, posted, etc. without my expressed permission. B Heard

15. Normal Distribution Bonus LectureWhat is the probability that a 12 year-old boy is shorter than 58 inches?Notice we use the top left option because from the cartoon you can see this gives the probability that it is below the value you put in the green box. Entering 58 gives us the probability 0.1151 that he is shorter than 58 inches.Not to be used, posted, etc. without my expressed permission. B Heard

16. Normal Distribution Bonus LectureWhat is the probability that a 12 year-old boy is taller than 67 inches?Notice we use the top middle option because from the cartoon you can see this gives the probability that it is above the value you put in the green box. Entering 67 gives us the probability 0.2743 that he is taller than 67 inches.Not to be used, posted, etc. without my expressed permission. B Heard

17. Normal Distribution Bonus LectureWhat is the probability that a 12 year-old boy is between 60 and 66 inches tall?Notice we use the top right option because from the cartoon you can see this gives the probability that it between the two values you put in the green boxes. Entering 60 and 66 gives us the probability 0.4436 that he is between 60 and 66 inches.Not to be used, posted, etc. without my expressed permission. B Heard