Question

The following data set is given. Determine whether it is reasonable to treat the following sample...

The following data set is given. Determine whether it is reasonable to treat the following sample as though it comes from an approximately normal population. Include any charts or graphs you make in Excel here and justify your answer.

8.8

11.2

11.6

6.3

9.3

10.5

14.6

8.5

7.3

7.5

5.2

9.0

4.3

9.9

7.8

13.1

12.3

10.1
Math   Statistics-And-Probability   
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Answer #1

This is a normal Probability plot created by first arranging X values in ascending order, then finding fi(theoritical freauencies) by using the formula :

fi=(i+0.375)/(n+0.25) where i=1,2,....18 that is position in data set and zi is corresponding z score.

The plot is obtained by plotting X values in X axis and zi values in Y axis.

Since the line in the plot is looking like a 45degree line we say that data comes from approximately normal distribution.

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