Homework # 3 Name ________________________________
Chapters 6 & 7
- What is the formula used to determine the probability of a given event (A)? (1 pt)
- We are interested in examining divorce rates and whether they differ depending on where people live. We ask a total of 350 people living various towns and cities about their marital status. Use the following data about the number of people who are married or divorced in small towns and large cities to answer the questions below. (3 pts)
Marital Status
place of residence |
married |
divorced |
small town |
50 |
30 |
large city |
125 |
145 |
- What is the probability that an individual is married?
- What is the probability that an individual lives in a small town?
- What is the probability that an individual is divorced, given that the individual lives in a large city?
- What is the probability that an individual is divorced, given that the individual lives in a small town?
- What is the probability that an individual lives in a small town and is married?
- What is the probability that an individual is divorced and lives in a large city?
- What is sampling error? (½ pt)
- Why is it necessary to divide SS by N-1 when computing a variance estimate? (½ pt)
- What is the sampling distribution of the mean? (1 ¼ pt)
5b. What are the three characteristics of the sampling distribution of the mean defined by
the Central Limit Theorem? (¾ pt)
- What is the standard error of the mean? (1 pt)
6b. What information does the standard error convey? (¾ pt)
6c. How do we represent the standard error of the mean in statistical notation? (¼ pt)
6d. What are the two factors that influence the standard error of the mean? (1 pt)