Question

You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. For the context of this problem,
μd=PostTest−PreTestμd=PostTest-PreTest one data set represents a
pre-test and the other data set represents a post-test. Each row
represents the pre and post test scores for an individual.

Ho:μd=0Ho:μd=0

Ha:μd≠0Ha:μd≠0

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 |
---|---|

63.4 | 104.2 |

65.8 | 90 |

18.2 | 17.8 |

55.2 | 54.8 |

70 | 34.6 |

33.1 | 41.3 |

24 | 29.6 |

49.5 | 37.4 |

59.3 | 96.3 |

61.5 | 86.9 |

54.7 | 48.5 |

64.2 | 34.9 |

64.9 | -7 |

52.4 | 71.1 |

75.8 | 77.1 |

54.3 | 26.1 |

59.8 | 118.5 |

39.7 | 40.2 |

59.8 | 107.7 |

41.2 | 8.4 |

What is the test statistic for this sample?

test statistic = (Report answer accurate to 4 decimal
places.)

What is the p-value for this sample?

p-value = (Report answer accurate to 4 decimal
places.)

The p-value is...

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
- The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.

Answer #1

Test statistic t =
**0.3587**

p-value = **0.7238**

The p-value is **greater than α**

This test statistic leads to a
decision to **fail to reject the null**

As such, the final conclusion is
that:

**There is sufficient
evidence to warrant rejection of the claim that the mean difference
of post-test from pre-test is not equal to 0.**

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05. For the context of this problem,
μd=PostTest−PreTestμd=PostTest-PreTest where the first data set
represents a pre-test and the second data set represents a
post-test. (Each row represents the pre and post test scores for an
individual. Be careful when you enter your data and specify what
your μ1μ1 and μ2μ2 are so that the differences are computed
correctly.)
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores...

You wish to test the following claim (Ha) at a significance
level of α=0.02. For the context of this problem, μd=
PostTest−PreTest where the first data set represents a pre-test and
the second data set represents a post-test. (Each row represents
the pre and post test scores for an individual. Be careful when you
enter your data and specify what your μ1 and μ2 are so that the
differences are computed correctly.)
Ho: μd = 0
Ha: μd ≠ 0...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=14n=14 subjects. The average
difference (post - pre) is ¯d=−17.4d¯=-17.4 with a standard
deviation of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.05. For the context of this problem,
μd=PostTest−PreTestμd=PostTest-PreTest. Each row gives the scores
of a single individual.
Ho:μd=0
Ha:μd>0
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
66.4
128
65.2
128.6
65.2
73.5
35.2
72.7
59.3
47
55
-0.1
43.4
114.7
56.7
65
58.7
46.4
36.6
69.2
72...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=22n=22 subjects. The average
difference (post - pre) is ¯d=25.6d¯=25.6 with a standard deviation...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=50n=50 subjects. The average
difference (post - pre) is ¯d=−18.8d¯=-18.8 with a standard
deviation of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002. For the context of this problem, μd =
PostTest − PreTest. Each row gives the scores of a single
individual.
Ho:μd=0
Ha:μd<0
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
33.5
58.5
36.4
10.8
47.5
16.5
54.4
21.8
51.7
55.5
38.9
71.5
39.1
31.1
40.9...

You wish to test the following claim (H1) at a significance
level of α=0.002. For the context of this problem, d=x2−x1 where
the first data set represents a pre-test and the second data set
represents a post-test.
Ho:μd=0
H1:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
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differences...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=50n=50 subjects. The average
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You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this problem, the first
data set represents a pre-test and the second data set represents a
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Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
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distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=47n=47 subjects. The average
difference...

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