Northern Michigan University

Department of Mathematics/Computer Science

MA251 Probability and Statistics for Elementary Teachers Winter, 2008

3:00pm section 01 M W R F

YOU SHOULD BE ABLE TO CORRECTLY ANSWER THE FOLLOWING QUESTIONS OR THE QUESTIONS IN 
THE APPLICATIONS MENTIONED.

1.  Given data from two experiments, be able to determine which is a more likely sample.

2.  Given data be able to generate a 90% box plot, and then answer questions about the box plots.

3.  Given box plots be able to use them to answer questions, such as:
a.  questions in application 6.
b.  questions in application 7.
c.  questions in application 8.

4.  Be able to choose box plots for various sample sizes and use them to answer questions.

5.  Be able to generate confidence intervals, use them in answering questions, and evaluate 
statements about specific given confidence intervals.

6.  Know what a random sample is and be able to apply the definition.

7.  Be able to label descriptions of sampling techniques with names, especially:
a.  convenience sample.
b.  self-selected sample.
c.  judgement sample.
d.  probability sample.
e.  cluster sample.
f.  stratified random sample.
g.  systematic sample.

8.  Be able to determine whether a sample is representative or not.

9.  Be able to determine some possible sources of bias.  If you are given two descriptions of 
samples, choose which is more (least) likely to be biased.

10.  Be able to list some factors involved in conducting a survey.  Be able to describe how the 
factors were applied (misapplied) in a given description of a survey.

11.  Given data, be able to apply the capture-recapture method to determine size of a population.  
As part of the process be able to determine both 90% confidence intervals and 95% confidence 
intervals.