Homework 1

Read chapter 1 in the text. Also review the material covered in lecture.

Homework problems:

Chapter 1:

1.6, 1.7, 1.9, 1.15 (Do this exercise only for the data of Exercise 1.4),  1.20, 1.22

Extra problem:

1. A researcher randomly selected 18 households, each of which had at least one child and one parent living in the home. He was interested in determining whether the number of hours of TV a child watches affects his/her grade point average (GPA) in school. In each of the households he administered a questionnaire to the parent(s) and asked whether or not the child watched more than 20 hours of TV per week. (Assume the parent gave an accurate report. Also, if there was more than one child, he used a random process to pick one of the children to ask questions about.) The researcher also got permission to get the child's GPA from school. The two datasets that he obtained are:

GPAs for kids who watched more than 20 hours of TV: 1.9, 2.0, 2.0, 2.1, 2.2, 2.3, 3.5, 3.5, 3.9
GPAs for the kids who watched less TV: 1.2, 3.3, 3.3, 3.5, 3.6, 3.8, 3.8, 3.9, 4.0

a. Find the interquartile range of the GPAs for students who watched more than 20 hours of TV per week.

b. Find the median GPA for students who watched less than 20 hours of TV per week.

c. Find the mean GPA for students who watched less than 20 hours of TV per week.

d. Describe the skew, if any, for the distribution of the GPAs of the kids who watched less than 20 hours of TV a week.