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. Data on palate width from a sample of 124 grey kangaroos are presented inthe stem-and-leaf display below. The display uses five lines for each stem. Thus,"2t|" is the stem for palate widths of 22 and 23, "2f|" for 24 and 25, "2s|" for 26 and27, and so on. (The "t" then stands for leaves that are twos and threes, the "f" forleaves of fours and fives, etc. "2." Indicates leaves that are zeros and ones; "2*"indicates leaves that are eights and nines.)The mean palate width of this sample is 2.6cm, and the standard deviation is 0.3 cm. (a) Approximately what percent of palate widths in this sample exceed 2.9 cm?
(b) What is the approximate percentile of a palate width that is 2.0 cm?