Refer to the women's right handspan data. As you can see in Figures 1 to 2, there are two apparent outliers at 12.5 cm and 13.0 cm.
a. If these values are removed, do you think the mean will increase, decrease, or remain the same? What about the standard deviation? Explain.
b. With the outliers removed, the mean and standard deviation for the remaining 101 values are 20.2 cm and 1.45 cm, respectively. The range is 7.25, from 16.0 to 23.25. Determine whether or not the Empirical Rule for mean ±3 standard deviations appears to hold for these values.
c. Refer to Figures 1 to 2. Based on those figures, do you think the Empirical Rule should hold when the outliers are removed? How about when the outliers have not been removed? Explain.
d. Is there any justification for removing the two outliers? Explain.
