# 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.

**Test 3 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.

**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 |

**Accuracy of Answers:** For all 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.

Even though your calculator may compute a probability as 0 or compute a probability as 1, do not give these as your answers. If the calculator gives the probabilty as 0, say the probability is less than 0.001. If the calculator gives the probability as 1, say the probabilty is more than 0.999.

Inverse normal calculations are not very accurate. Answers to these problems should have the same accuracy or at most one more decimal place than used in the mean given in the problem.

**Problem Descriptions**:

1 - Find a normal probability as in #1, 2(a,b), 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15 pp.329-30. | Examples | |

1 - Find cutoff values for a normal probability distribution as in #18, 19, 20, 23 p.331. |
Examples | |

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

1 - Find a confidence interval for a population mean as in #11, 12, 13, 14, 15, 16, pp. 379-80. | Examples | |

1 - Find a confidence interval for a population proportion as in #3, 5, 7, 10, 11, 13 pp.387-88. | Examples | |

1 - 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 p.372. |
Examples | |

1 - Find the sample size needed to estimate a population proportion as in #15, 16, 17, 19, 20 p.388. | Examples | |

1 - Identify Type I Errors and Type II Errors in a hypothesis testing situation as in #13, 14, 15, 16 p.419. These problems 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. | Examples | |

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

1 - 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. | Examples |

Indicates that there is a calculuator 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 needed information is given in the problem statements. Students who do not finish the test in the alloted 75 minutes usually have not read and practiced similar problems beforehand.