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Test 3 Description

Basic Information: Test 3 has 10 problems worth 6 points each for a total of 60 possible points. Test 3 is open book and closed notes.

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Administration: Test forms will be handed out at the start of the period on the day the test is scheduled in class. You will have the whole class period to write your answers to each of the 10 problems on paper. When you are finished, you will turn in your test forms and answers to Dr. Gurney.

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Materials Needed:  Ruled notebook paper or graph paper - at least 2 sheets, Pencil - pens are allowed, Calculator - TI-83, TI-84 or comparable graphing calculator

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Accuracy of Answers

Probabilities and proportions: Use at least two but no more than four decimal places.  If an answer comes out to exactly one decimal place, you may leave it.  All percentages should be written with zero to two decimal places. If you are familiar with significant digits, all probabilities should be written with two, three or four significant digits.

Calculated Probabilities of 0 or 1:  Even though your calculator or software may say a probability is 0 or probability is 1, do not use either of these as your final answer.  If your calculator or software computes a probability as 0, say the probability is less than 0.001.  If your calculator or software computes a probability as 1, say the probability is more than 0.999.

Computing Basic Statistics:  Compute basic statistics to at least 1 but no more than two places more than the original data.  If the statistic can be exactly computed with the same number of decimal places as the data, you can leave it as is.

Inverse normal calculations: These values depend on the values for the mean and standard deviation, but the mean and standard deviation may not be very accurate.  For these problems, use at most one more decimal place than what is used for the mean given in the problem.

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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 needed information is given in the problem statements.  Students who do not finish the test in the allotted 75 minutes usually have not read and practiced working similar problems beforehand.

01

Find a probability involving the Central Limit Theorem as in #7, 8, 9, 11, 13 15, 16, 19 pages 344-45.

02

Find a confidence interval for the population mean as in #11 through #16 pages 379-80.

03

Find a confidence interval for the population proportion as in #3, 5, 7, 10, 11, 13 pages 387-88.

04

State how the length of a confidence interval changes if the value for the mean, standard deviation or the confidence increases or decreases while the other values do not change.

05

Find the sample size needed to estimate a population mean as in #23, 24, 25 (take square root of variance to obtain standard deviation), #26 page 372.

06

Find the sample size needed to estimate a population proportion as in #15, 16, 17, 19, 20 page 388.

07

State how the sample size needed to estimate a population mean or a population proportion changes if the standard deviation, margin of error, or confidence increases or decreases while the other values do not change.

08

Identify Type I Errors and Type II Errors in a hypothesis testing situation as in #13, 14, 15, 16 p.419. (The problems in the textbook just ask for the null and alternative hypotheses, but having the null and alternative hypotheses, one can go further and say

what the Type I Errors and Type II Errors would be.)

09

Run a hypothesis test of a mean as in #7, 8, 13, 14, 17, 18, 19 23 pages 441-42.

10

Run a hypothesis test of a proportion as in #5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 pp.449-50.

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