Notes 10/14/15 STAT 121
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This 2 page Class Notes was uploaded by Amanda Berg on Sunday October 18, 2015. The Class Notes belongs to STAT 121 at Brigham Young University taught by Dr. Christopher Reese in Fall 2015. Since its upload, it has received 31 views. For similar materials see Principles of Statistics in Statistics at Brigham Young University.
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Date Created: 10/18/15
Notes 101415 The Normal Distribution Looking at the entire population with an area curve the normal distribution is a symmetric mound shaped single peaked area curve with u mu as the mean of the population and o as the standard deviation of the population The mean and median are the same because it is symmetric umeanpoint of symmetry in a normal distribution ostandard deviationdistance from the mean to the point where curve begins to fall ess steeply impletiue Percentages Area ill the left ell a value Ste 115 15 15 34 915 51935 This graph is a template When you get a test question talking about anything being a normal distribution draw out this and then add in the numbers once you are given the mean and standard deviation Ell wrnen39i39e n lgmte E lie Helm idietrihutiuan f are 1353 I J 39l39h39lil p E Ei iiiElma 1r h i 13513 L nL L1II l ii 1555 u l I Standard Normal Distribution Mean0 Standard deviation 1 0 Appropriate density curve for all normally distributed variables if converted to standard deviations from the mean 0 Ex proportion of birth weights less than 3060 grams proportion of birth weights more than 1 standard deviation below the mean Any normal distributed variable can be turned into a standard normal variable through a conversion into a zscore o Zscore standardized value represents how many standard deviations away from u x variable being studied is using a standard normal distribution If x is normally distributed with mean u and standard deviation 0 then 2 Xllo Ex if z215 then x is 215 standard deviations below the mean Birth weights of full term babies approximately normally distributed with u3485 g and 0 425 g o Zweight3485425
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