**Read** the following scenario and complete each of the seven problems below:

A drug company wants to compare the effect of three different medicines (Drug A, Drug B, and Drug C) on reducing the pain associated with migraine headaches. They asked 39 migraine sufferers to take the medicine at the beginning of their next migraine attack and to record their highest pain level during the migraine based on a scale of 1 (slight pain) to 10 (severe pain). The results of the study are in the table below.

Drug A |
Drug B |
Drug C |

4 |
6 |
6 |

5 |
8 |
7 |

4 |
4 |
4 |

3 |
4 |
6 |

2 |
4 |
7 |

4 |
6 |
5 |

3 |
5 |
6 |

5 |
8 |
5 |

4 |
6 |
5 |

5 |
7 |
4 |

4 |
4 |
5 |

3 |
5 |
4 |

5 |
4 |
6 |

1. If you were going to do a hypothesis test for this scenario, explain why the ANOVA would work best for this analysis, rather than the z-test, the t-test, or the chi-square test.

<*Compose response here*>

2. Conduct an ANOVA test to determine whether there is a difference in the effects of the three drugs on the pain level of the migraines. Show all of your work to support your ANOVA test.

<*Compose response here*>

3. What conclusion can be determined from the results of the ANOVA test?

<*Compose response here*>

4. If the ANOVA test was statistically significant, would you be able to tell which drug was statistically better than the others? Explain your reasoning.

<*Compose response here*>

Subject | Mathematics |

Due By (Pacific Time) | 06/12/2015 12:00 am |

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