Q.69 Which of the following is least ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 2: Q.69 (page 134)

Which of the following is least likely to have a nearly Normal distribution?
(a) Heights of all female students taking STAT $001$ at State Tech.
(b) IQ scores of all students taking STAT $001$ at State Tech.
(c) SAT Math scores of all students taking STAT $001$ at State Tech.
(d) Family incomes of all students taking STAT 001 at State Tech.
(e) All of (a)鈥�(d) will be approximately Normal.

Short Answer

Expert verified

The correct answer is (d) Family incomes of all students taking STAT $001$ at State Tech.

Step by step solution

Given Information

In terms of probability distributions, the normal distribution is a continuous distribution of random variables of real value.

Explanation

When we don't expect the data set to be highly skewed, a data set has nearly a normal distribution.

Data are considered skewed when most of the values are small, while a few unusually large data values are present, or when most of the values are large, but a few unusually small data values are present.

It is unlikely that the distributions of height, IQ, and SAT math scores will be skewed (as most people will have a score near the average) and so these distributions are probably roughly normal.

As a result, we expect the distribution of family incomes to be skewed, since there are probably a few students in the class who have an unusually small income (for example, students who require a scholarship to be able to attend college).

As a result, it is the least likely that family incomes will have a nearly Normal distribution.