#### MS 150 Statistics Fall 2001 Quiz 12

Pretest |
Posttest |

9 |
13 |

8 |
9 |

8 |
9 |

10 |
11 |

10 |
11 |

6 |
11 |

10 |
10 |

Use Excel to run a paired t-test on the above data at a significance level of a = 0.05 and a hypothesized
mean difference of zero. Use the results for a two-tailed test. Hint: the variance is the
square of the standard deviation.

- What is H
_{0}? ___________
- What is H
_{1}? ___________
- What is a?___________
- How many tails?___________
- Report n___________
- Report x for the pretest___________
- What is sx for the pretest?___________
- Report x for the posttest___________
- What is sx for the posttest?___________
- Report the correlation coefficient r _________
- Report the degrees of freedom ___________
- Report the t-statistic _______
- Report t
_{c} for a two-tailed distribution ___________
- Make a sketch on the back of the t-distribution including µ, ± t
_{c}, the
t-statistic, and the area in the tails.
- Do we reject H
_{0} or do we fail to reject H_{0}?___________
- Is the difference in the test averages at a = 0.05
statistically significant? _____

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