Question

In Exercises 1-3, use the following recent annual salaries (in millions of dollars) for players on the N.Y. Knicks professional basketball team.

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 dotplot. 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.