Download 155S6.3.notebook 1 February 22, 2010

155S6.3.notebook
February 22, 2010
Some General Information
MAT 155­DY1 & DY2
Chapter 6 Normal Probability Distribution
6.3 Applications of Normal Distribution
You can find the following two lessons in the Course Documents section of CourseCompass:
S3D.1 MAT 155 Chapter 6 Normal Probability Distributions S3D.1.1 MAT 155 Using Technology for Chapter 6 The following are some animations or other media items pertaining to Chapter 6. The items listed to Section 6.2, 6.3, 6.4, and 6.5 may be found in the multimedia section of your course in CourseCompass.
Section 6.2 Random Variable X
Section 6.3 Pulse Rate
Section 6.4 Standard Deviation of Sample Means
Section 6.5 Central Limit Theorem
Visit Dr. Moore’s website for Excel programs to help solve problems in Chapter 6 Normal Probability Distributions. In Software & Technology Items, scroll down to Mathematical Modeling & Statistics and open Normal Distribution (xls)
http://cfcc.edu/faculty/cmoore/S3.159a.6C.NormDist.xls
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
Using z­score and a­table to find probability.
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
277/8. Adult IQ scores are normally distribution with mean of 100 and std of 15. Select an adult at random. Draw a graph and find P(110 < IQ < 120).
Feb 13­8:58 PM
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
277/6. Adult IQ scores are normally distribution with mean of 100 and std of 15. Select an adult at random. Draw a graph and find P(IQ > 131.5). [requirement for Mensa membership]
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
277/10. Adult IQ scores are normally distribution with mean of 100 and std of 15. Draw the graph and find the IQ score that separates the bottom 60% from the top 40%.
Feb 13­8:58 PM
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155S6.3.notebook
Section 6.3 Applications of Normal Distribution
277/12. Adult IQ scores are normally distribution with mean of 100 and std of 15. Draw the graph and find the IQ score that separates the top 85% from the others.
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
278/16. Men’s and women’s heights are normally distributed. Men: mean 69.0 in. and std 2.8 in. Women: mean 63.6 in. and std 2.5 in. The standard casket has inside length of 78 in. (a) What percentage of men are too tall? Of women? Standard size adequate?
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
278/18. Birth weights in Norway are normally distributed with mean of 3570 g and std of 500 g. What weight should be used to separate the lightest 2% from the others?
Feb 13­8:58 PM
February 22, 2010
Section 6.3 Applications of Normal Distribution
278/14. Women’s heights are normally distributed with mean 63.6 in. and std 2.5 in. U.S. Army requires women’s heights between 58 in. and 80 in. Find percentage of women meeting this requirement. Are many women being denied admission because of this requirement?
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
278/16. (continued) Men’s and women’s heights are normally distributed. Men: mean 69.0 in. and std 2.8 in. Women: mean 63.6 in. and std 2.5 in. The standard casket has inside length of 78 in. (b) What inside length would fit all men except the tallest 1%?
Feb 13­8:58 PM
Section 6.3 Applications of Normal Distribution
278/21. Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Wife claimed to birth 308 days after a brief visit from sailor husband. Find probability of pregnancy lasting 308 days or longer. What does the result suggest?
(b) Stipulate that a bay is premature if pregnancy is in the lowest 4%, find the length that separates premature babies from others.
Feb 13­8:58 PM
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