Question

Kittlitz (1999) presents data on homicides in Waco, Texas, for the years 1980-1989 (data taken from the Waco Tribune-Herald, December 29, 1989). There were 29 homicides in 1989. Table 6E.15 gives the dates of the 1989 homicides and the number of days between each homicide. The asterisks refer to the fact that two homicides occurred on June 16 and were determined to have occurred 12 hours apart.
a. Plot the days-between-homicides data on a normal probability plot. Does the assumption of a normal distribution seem reasonable for these data?
b. Transform the data using the 0.2777 root of the data. Plot the transformed data on a normal probability plot. Does this plot indicate that the transformation has been successful in making the new data more closely resemble data from a normal distribution?
c. Transform the data using the fourth root (0.25) of the data. Plot the transformed data on a normal probability plot. Does this plot indicate that the transformation has been successful in making the new data resemble more closely data from a normal distribution? Is the plot very different from the one in part (b)?
d. Construct an individual control chart using the transformed data from part (b).
e. Construct an individual control chart using the transformed data from part (c). How similar is it to the one you constructed in part (d)?
f. Is the process stable? Provide a practical interpretation of the control chart.


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  • CreatedSeptember 19, 2015
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