**Question: **You wish to test the following claim () at a significance level of . For the context of this problem, where the first data set represents a pre-test and the second data set represents a post-test.

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

pre-test | post-test |

50.1 | 30.8 |

47.8 | 33.4 |

56.9 | 46.9 |

61.6 | 47.5 |

53.5 | 35.8 |

46 | 29.5 |

42.7 | 22 |

52.8 | 50 |

What is the critical value for this test? (Report answer accurate to three decimal places.)

critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

**Solution:**The solution consists of 273 words (2 pages)

**Deliverables:**Word Document