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7.3 NORMAL DISTRIBUTION A standardized normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. If I know the area under the curve can I figure out the z-value it corresponds with? YES!!!!! WORK BACKWARDS 1) If the probability of getting less than a certain z-value is 0.1190, what is the z-value? 2) If the probability of getting larger than a certain z-value is 0.0129, what is the z-value? 3) Find z, if the area under a standard normal curve a. between z = 0 and z is 0.3485 b. to the right of z is 0.0307 c. to the left of z is 0.7324 d. between z = 1.84 and z is 0.127 7.3 NORMAL DISTRIBUTION THE GENERAL NORMAL DISTRIBUTION If we are given a normal distribution with a mean different from 0 and a standard deviation different from 1, we can CONVERT this normal distribution into a standardized normal distribution by converting each of its scores into standard scores. USE THIS FORMULA TO CONVERT INTO STANDARD SCORES z x , x z 4) In a normal distribution 25 and 5 , what is the probability of obtaining a value a. Between 21 and 28? b. Greater than 30? 5) Find the percentile rank of a score of 20 in a normal distribution with 15 and 2.3 . 6) In the Key Club, heights of members are normally distributed with 63 in and 2 in . a. If Mike is in the 90th percentile, find his height. b. If George is in the 65th percentile, find his height.