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Normal Q-Q Plot<br />

Histogram of rs<br />

Sample Quantiles<br />

-2 -1 0 1 2<br />

Frequency<br />

0 5 10 15 20<br />

-2 -1 0 1 2<br />

Theoretical Quantiles<br />

-2 -1 0 1 2<br />

rs<br />

n = 100<br />

Normal Q-Q Plot<br />

Histogram of rs<br />

Sample Quantiles<br />

-2 -1 0 1 2 3<br />

Frequency<br />

0 5 10 15 20<br />

-2 -1 0 1 2<br />

Theoretical Quantiles<br />

-2 -1 0 1 2 3<br />

rs<br />

(c) What lesson do you draw about using graphs to asses whether or not a data set follows a normal<br />

distribution<br />

For small n, it is relatively difficult to assess normality. For moderate to large n, the data will<br />

generally follow a normal distribution and the points will follow a straight line in a Q-Q plot.<br />

20

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