Stats Week 1
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This 4 page Class Notes was uploaded by Sydney Veatch on Thursday September 15, 2016. The Class Notes belongs to SDS 302 at University of Texas at Austin taught by in Fall 2016. Since its upload, it has received 30 views. For similar materials see Statistics Data Analysis in Math at University of Texas at Austin.
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Date Created: 09/15/16
Z SCORES AND TABLE NOTES AND PRACTICE Z-Scores -measure of how many standard deviations there are between a data value and the mean Z= x-μ(mean of population) / σ (standard deviation) EX; $247 skis Mean $279 SD= $16 Z= 247279 /16 Z=2 The price of the skis are 2 standard deviations below the mean ZTable used to find the proportion that falls to the left of the mean Ex: find the proportion when the z score is less that 2.47 =.9932 99.32 percent of the data was 2.47 standard deviations away Ex: find the proportion where z is greater than 1.53 1.937=.063 6.3% of the data is greater than 1.53 sd's away Average Hrs sleep= 6 hrs Sd=1.3 A) z=-1.6, how many hours? -1.6= (x-6) / 1.3 3.92 Hours B) prop. > 4 hours Z= (4-6)/1.3 Z= -1.54 93.82% of all sleep is over 4 hours C) prop between 6.5 &7.5 hours Z=(6.5-6)/1.3 & (7.5-6)/1.3 Z=.38 & 1.15 22.69%
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