Question

Conduct an appropriate hypothesis test using the provided information [Neatly show all steps / necessary calculations, including both a complete comparison & interpretation statement AND plain English inference statement].

Thirty participants in an after-school tutoring program complete a comprehension test [test 1] on the day the program starts. After six weeks, the same students complete another test of their comprehension [test 2]. A random sampling of the participants forms the dataset provided below. Is there a statistically significant difference between the students’ first and second comprehension tests at a .05 level of significance?

Student ID |
Test 1 Score |
Test 2 Score |

1 |
14 |
17 |

5 |
8 |
15 |

9 |
5 |
5 |

12 |
10 |
9 |

17 |
4 |
5 |

24 |
12 |
11 |

26 |
9 |
11 |

Answer #1

H0: mu(d) = 0

H1 : mu(d) is not equal to zero.

Conclusion : Fail to reject H0.

That is, there is not sufficient evidence to conclude that there is a statistically significant difference between the students’ first and second comprehension tests.

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Pair
Population 1 Population 2
1 10 12
2 8 7
3 13 11
4 13 16
5 17 15
6 12 9
7 12 12
8 11 7

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