Grey Kangaroos Are Large Social Marsupials, Indigenous to Australia

question 25

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?

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Definitions:

Social Differences

Variations among individuals and groups based on class, ethnicity, gender, age, and other social categories.

Access to Resources

The ability or opportunity to obtain and use necessary resources, such as raw materials, knowledge, or financial assets, which can significantly affect living conditions and economic development.

Birth Spacing Interval

The period between consecutive births, affecting maternal and child health as well as population growth and family planning.

Hunters and Gatherers

Societies or groups that rely primarily on wild sources of food, obtained through hunting animals, fishing, and gathering plants, rather than agricultural cultivation.