3. (Normality Test, p, If it is possible to obtain a large number of observations for a variable X, a histogram would be helpful to determine whether or not X has approximately a normal distribution....


3. (Normality Test, p, If it is possible to obtain a large number of observations for a variable<br>X, a histogram would be helpful to determine whether or not X has approximately a normal<br>distribution. However, if the sample is small (size < 30), a quantile-quantile plot is suggested.<br>(1) po, For the following sample, calculate the z quantiles z,, z,,, Z, (n=12), which divide<br>the area under z-curve to 13 equal parts.<br>0.06 0.11<br>0.12<br>0.12<br>0.13<br>0.17<br>0.19<br>0.20<br>0.23 0.25<br>0.29 0.31<br>1<br>3<br>4<br>5<br>8<br>10<br>11<br>12<br>0.0769 0.1538 0.2308 0.3077 0.3846 0.4615 0.5385 0.6154<br>13<br>0.7692 0.8462 0.9231<br>0.6923<br>(2)<br>sample was taken from a normal population.<br>Draw a q-q plot (plot (x1, z,), (x2, z,), ., (x12, Z12 )) to determine whether or not the<br>

Extracted text: 3. (Normality Test, p, If it is possible to obtain a large number of observations for a variable X, a histogram would be helpful to determine whether or not X has approximately a normal distribution. However, if the sample is small (size < 30),="" a="" quantile-quantile="" plot="" is="" suggested.="" (1)="" po,="" for="" the="" following="" sample,="" calculate="" the="" z="" quantiles="" z,,="" z,,,="" z,="" (n="12)," which="" divide="" the="" area="" under="" z-curve="" to="" 13="" equal="" parts.="" 0.06="" 0.11="" 0.12="" 0.12="" 0.13="" 0.17="" 0.19="" 0.20="" 0.23="" 0.25="" 0.29="" 0.31="" 1="" 3="" 4="" 5="" 8="" 10="" 11="" 12="" 0.0769="" 0.1538="" 0.2308="" 0.3077="" 0.3846="" 0.4615="" 0.5385="" 0.6154="" 13="" 0.7692="" 0.8462="" 0.9231="" 0.6923="" (2)="" sample="" was="" taken="" from="" a="" normal="" population.="" draw="" a="" q-q="" plot="" (plot="" (x1,="" z,),="" (x2,="" z,),="" .,="" (x12,="" z12="" ))="" to="" determine="" whether="" or="" not="">

Jun 09, 2022
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