Question

The cancer mortality rates for white males in Nebraska are listed below: 185.275,  178.736,  195.036,  206.79, ...

The cancer mortality rates for white males in Nebraska are listed below:

185.275,  178.736,  195.036,  206.79,  216.632,  226.219, 235.606,  245.549,  257.402, 273.702,  267.163, 340.716

a.  Produce a Q-Q plot for these measurements

b.  Discuss the goodness of fit for the normal distribution as a model for these measurements? 

Math   Statistics-And-Probability   
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Answer #1

a. To produce a Q-Q plot for the above given measurements we use the following R code

x=c(185.275,178.736,195.036,206.79,216.632,226.219,235.606,245.549,257.402,273.702,267.163,340.716)
> x
[1] 185.275 178.736 195.036 206.790 216.632
[6] 226.219 235.606 245.549 257.402 273.702
[11] 267.163 340.716
> qqnorm(x,main="Normal Q-Q Plot")
b. The normal distribution is a more or less acceptable model to fit the above measurements. This is so, because the theoretical quantiles and the sample quantiles more or less fall on a straight line.

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