Grey Kangaroos Are Large Social Marsupials, Indigenous to Australia

Essay

Grey Kangaroos are large social marsupials, indigenous to Australia. As part of astudy of these creatures, biologists measured various aspects of their skeletalstructure. A sample of 148 palate widths is presented in the stem-and-leaf plot below.The display uses five lines for each stem. Thus, "2t|" is the stem for palate widths of22 and 23, "2f|" for 24 and 25, "2s|" for 26 and 27, and so on. (The "t" then stands forleaves that are twos and threes, the "f" for leaves of fours and fives, etc. "2."Indicates leaves that are zeros and ones; "2*" indicates leaves that are eights andnines.) The mean palate width of this sample is 2.6 cm, and the standard deviation is 0.3 cm. (a) Approximately what percent of palate widths in this sample are less than 2.9 cm?
(b) What is the approximate percentile of a palate width that is 2.0 cm?