Chapter 6 Sec 2

Chapter 6 Sec 2 - Distribution Chapter6Section2...

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Applications of the Normal  Distribution 1 Chapter 6 Section 2 October 27, 2010 Mr. Kenneth Horwitz

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Applications of the Normal  Distributions The standard normal distribution curve can be used  to solve a wide variety of practical problems.  The only requirement is that the variable be  normally or approximately normally distributed. For all the problems presented in this chapter, you  can assume that the variable is normally or  approximately normally distributed. 2
Applications of the Normal  Distributions To solve problems by using the standard normal  distribution, transform the original variable to a  standard normal distribution variable by using the  z   value formula. This formula transforms the values of the variable  into standard units or  values. Once the variable is  transformed, then the Procedure Table and Table E  in Appendix C can be used to solve problems. 3

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Example 1: Holiday Spending A survey by the National Retail Federation found that women  spend on average \$146.21 for the Christmas holidays. Assume  the standard deviation is \$29.44. Find the percentage of women  who spend less than \$160.00. Assume the variable is normally  distributed. Step 1: Draw the normal distribution curve. 4
Step 2: Find the  value corresponding to \$160.00 . 5 Table E gives us an area of .6808.   68% of women spend less than \$160. Step 3: Find the area to the left of

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This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Chapter 6 Sec 2 - Distribution Chapter6Section2...

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