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Magazine Chapter 6: Q3 (page 294)
In Exercises 1-3, use the following recent annual salaries (in millions of dollars) for players鈥俹n鈥倀he鈥侼.Y.鈥侹nicks鈥俻rofessional鈥俠asketball鈥倀eam.
23.4, 22.5, 11.5 ,7.1 ,6.0 ,4.1 ,3.3, 2.8, 2.6, 1.7, 1.6 ,1.3, 0.9 ,0.9, 0.6.
NY Knicks Salaries Round each of the salaries to the nearest million dollars, then construct a dot plot. Do the values appear to be from a population having a normal distribution?
Short Answer
The dot plot is shown below:
The sample observations do not seem to be part of a normally distributed population.
Step by step solution
Rounding the salaries to the nearest million dollars
The salaries are rounded to nearest million dollars as follows:
23, 23, 12, 7, 6, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1
Sketch a dot plot
Steps to construct a dot plot are:
1. Draw a line using real numbers .
2. Mark dots for each value on the line.
3. If the value repeats, mark the dot above the previous one.
The dot plot is shown below:
Determine normality
If the pattern described by a dot plot resembles an approximate bell shape, it implies the observations are taken from a normally distributed population. Otherwise, the distribution is non-normal. Thus, the dot plot shows that the distribution does not appear to follow a normal distribution.
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