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Test for Normality Table A
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WEIGHT
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Kolmogorov-Smirnov
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Shapiro-Wilk
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Statistic
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df
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Sig
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Statistic
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df
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Sig
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.193
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20
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.049
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.803
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20
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.001
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Note you will not use all of the words and each cell is considered as one dash in the paragraph
For example is not would fit in the space
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Cube
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Cube root
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df
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higher
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is not
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is
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left
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larger
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lower
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negative
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p-value
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positive
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random
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right
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rough
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sample
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size
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simple
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significance
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smaller
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space
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square
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square root
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statistic
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Statistics
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would
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would not
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m
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s
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s
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0.001
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0.05
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0.5
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0.803
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12.2
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12.931
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13.2
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13.931
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20
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123
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130.31
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x
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The stem plot above shows that the data from the Simple Random Sample is skewed to the right. The mean would therefore be larger than the median. One possible transformation to eliminate the skewness is the log transformation, another possible transformation is cube root.
The table A shows that the data is not normally distributed. This can be seen because the p-value is equal to 0.001 and this is less than the level of significance which is usually the value of 0.05.
The mean of the data set is 122 and the sample standard deviation is 129.31. The symbol for the sample mean is `x and for the sample standard deviation is s
If a linear transformation was applied to the data it would not change the shape of the stem plot. If the transformation involved dividing each observation by 10 and then adding 1, the mean and standard deviation of the transformed data would be
13.2 and 12.931.
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