For the 261 female heights shown in the box plot in Figure 2.16, the mean was 65.3 inches and the standard deviation was 3.0 inches. The shortest person in this sample had a height of 56 inches.
a. Find the z -score for the height of 56 inches.
b. What does the negative sign for the z –score represent?
c. Is this observation a potential outlier according to the 3 standard deviation distance criterion?
Explain.