INTRO TO STATISTICS
INTRO TO STATISTICS STAT 104
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This 6 page Class Notes was uploaded by Giovani Ullrich PhD on Saturday September 26, 2015. The Class Notes belongs to STAT 104 at Iowa State University taught by W. Stephenson in Fall. Since its upload, it has received 17 views. For similar materials see /class/214395/stat-104-iowa-state-university in Statistics at Iowa State University.
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Date Created: 09/26/15
Relationship between body mass and bite force For various species of Camdaz dogs foxes and wolves the average body mass kg and bite force at the canine N were measured Is there a relationship between the size ofthe anirn and the bite force Source christiansen and Wroe 2007 Bites Forces and Evolutionary Adaptations to Feeding Ecology in Camivores Eculugy 882 pp 347358 Fitv by X Y Response BFca N x Factor Body Mass kg Block Weight Freq By JMP Analysis of Bite Force By Body Mass 400 300 BFca N 200 100 I I 5 10 15 20 25 30 35 40 Body Mass kg Linear Fit Predicted BFca N 30391172 13428422 Body Mass kg Summary of Fit RS quare 0961822 RSquare Adj 0960353 Root Mean Square Error 2185478 Mean of Response 1540286 Observations or Sum Wgts 28 Parameter Estimates Term Estimate Std Error t Ratio Probgt1t1 Intercept 30391172 6355742 478 lt0001 Body Mass kg 13428422 0524686 2559 lt0001 60 40 39 g 20 39 0 I I i I I 20 I I l w 5 1390 1395 2390 2395 3390 3395 40 Body Mass kg Stat 104 Lecture 19 Population Shape Looks like a normal model Center iMean u 16 Spread istandard Deviation o 5 Distribution of the Sample Mean 7 n5 Shape Normal model Center Mean u 16 Spread Stande Deviation 039 5 SDEE224 Summary Sampling from a population that follows a Normal Model Distribution of the sample mean 7 ishape Normal model 7Center u ispread SD07 n Stat 104 Lecture 19 Population I Shape SkeWed right I Center iMean 808 I Spread istandard Deviation a 622 Distribution of the Sample Mean 7 I n 5 I Shape Approximately normal I Center Mean M 808 I Spread Standard Deviation a a SDyW 3 278 Stat 104 Lecture 19 Population I Shape SkeWed right I Center iMean 808 I Spread istandard Deviation a 622 Distribution of the Sample Mean I n 25 I Shape Approximately normal I Center Mean 1808 I Spread Standard Deviation SD7l 63922 124 I l3 Stat 104 Lecture 19 Central Limit Theorem When selecting random samples from a population with a distribution that is not normal the distribution of the sample mean y will be approximately normally distributed Central Limit Theorem The larger the sample the closer the distribution of the sample mean 7 is to being anormal model Summary Sampling from a population that does not follow a Normal Model Distribution of the sample mean 7 ishape Approximately normal 7Center u ispread SD07 q
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