In Problems 13 and 14, for each variable presented, state whether you would expe
ID: 3350712 • Letter: I
Question
In Problems 13 and 14, for each variable presented, state whether you would expect a histogram of the data to be bell-shaped uniform, skewed left, or skewed right. Justify your reasoning 13. (a) Annual household incomes in the United States (b) Scores on a standardized exam such as the SAT (c) Number of people living in a household (d) Ages of patients diagnosed with Alzheimer's disease 4.a) Number of alcoholic drinks consumed per week (b) Ages of students in a public school district (c) Ages of hearing-aid patients (d) Heights of full-grown men Applying the Concepts 15. Predicting School Enrollment To predict future enrollment in a school district, fifty households within the district were sampled, and asked to disclose the number of children under th ge of five living in the household. The results of the survey arExplanation / Answer
14. (a) Number of alcoholic drinks consumed per week - skewed right. The data is skewed right because, we may find more number of people who drink 0 or 1 or 2 drinks per week and less number of people consuming larger number of drinks per week.
(b) Age of students - Uniform - The age of students will be uniformly distributed from 5 - 15 or so because there will be approximately same number of students in each class/age group
(c) Age of hearing aid patients - skewed left - As age increases, number of patients using hearing aid also increase, especially after 60 or so. So, more number of old aged people will have hearing aids and very less number of youngsters will have hearing aids. So, the distribution is skewed left.
(d) heights of full grown men - bell shaped. The height of full grown men will be bell shaped with midpoint being the mean height and symmetrical about the mean as there can be equal number of people who are extremely tall or extremely short.
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