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Test 4 Description

Basic Information: This test has 10 problems worth 6 points each for a total of 60 possible points.  The test is open book and CLOSED notes.

Testing Time: The entire class period will be devoted to the test. At the end of the class period, all test work must be completed. Most students who have studied the material can finish this test in under 45 minutes.

Materials Needed:

Paper ruled notebook paper or graph paper
at least 2 sheets
Pencil pens are allowed
Calculator TI-83, TI-84 or comparable graphing calculator

Problem Descriptions:

1- Find and interpret a confidence interval for a population proportion as in #25-30 p. 403. Examples Graphing Calculator
1- Find and interpret a confidence interval for a population mean as in #27-31 & #33 pp.415-16 Examples
Other factors being constant, decide how the length of a confidence interval changes with the (a) confidence, (b) sample size, and (c) standard deviation.
Confidence Interval Variation
Exploration Problems
1- Find the minimum sample size necessary to estimate a population proportion as in #35-40 p.404 Examples
1- Find the minimum sample size necessary to estimate a population mean as in #31, 33, 34, 41, 43, 44 pp.416-18. Examples
Other factors being constant, decide how the minimum sample size changes with the (a) confidence, (b) margin of error, and (c) standard deviation.
Sample Size Variation
Exploration Problems
1 - State the null and alternative hypotheses, and explain what Type I and Type II errors would be for problems like #15-22 p.435.
Examples
1 - Run a hypothesis test of a population proportion as in #17, 18, 19, 20, 22, 26 p.447. A corrrect answer will include the test statistic, the P-value, and your conclusion in English. Examples Graphing Calculator
1 - Run a hypothesis test of a population mean as in #13, 14, 15, 17, 18, 19 pp.457-58. A correct answer will include the test statistic, the P-value, and your conclusion in English. Examples Graphing Calculator
1 - Test the difference between two means using data as in #7, 8, 11, 12, 13, 14 pp.487-89. A correct answer will include the mean of the differences, the standard deviation of the differences, the test statistic, the P-value, and your conclusion in English. Example Graphing Calculator

 

Indicates the calculator has a routine which quickly does most of the work for the problem.

 

WARNING: The test is open book to allow you to look up any formulas you might have forgotten. You must, however, read and practice the problems before the actual test so you know what method to use and where the needed information is given in the problem statement. Students who do not finish in the allotted 75 minutes usually have not spent enough time beforehand reading and/or practicing similar problems.

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