Question

You wish to test the claim that post-test scores are an
improvement, at a significance level of 0.05

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 |

51.4 |
56.5 |

36.8 |
63.5 |

51 |
55.6 |

45 |
69.9 |

38 |
22.3 |

50 |
64.9 |

37.2 |
48.4 |

29.3 |
31.3 |

56.9 |
63 |

29.3 |
40.1 |

39.6 |
49.9 |

50.3 |
28.7 |

62.4 |
65.9 |

39.2 |
37.1 |

70.5 |
66.4 |

15.8 |
18.9 |

30.7 |
71.6 |

76.2 |
61.9 |

56 |
66.8 |

39.6 |
68.2 |

43.3 |
57.4 |

25.8 |
30.9 |

46.7 |
42.6 |

67.4 |
65.9 |

Use correct notation for all answers:

a.) State the null and alternative hypothesis.

b.) What is the p-value for this sample?

c.) State your conclusion.

d.) Interpret your conclusion specific to this situation.

Answer #1

You wish to test the following claim ( H a ) at a significance
level of α = 0.005 . For the context of this problem, μ d = P o s t
T e s t − P r e T e s t 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...

You wish to test the following claim ( H a ) at a significance
level of α = 0.005 . d denotes the mean of the difference between
pre-test and post-test scores. H o : μ d = 0 H a : μ d ≠ 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: post-test pre-test 47.5 19.8 39.7
27.1 41.6 44 35.9...

You wish to test the following claim ( H a ) at a significance
level of α = 0.02 . For the context of this problem, μ d = P o s t
T e s t − P r e T e s t 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...

A.)You wish to test the following claim (HaHa)
at a significance level of α=0.001α=0.001. dd denotes
the mean of the difference between pre-test and post-test
scores.
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:
post-test
pre-test
58
73.9
71.3
53.3
65.2
74.5
57.2
48.4
66.1
39.6
49.6
35.9
60.8
103.6
70.8
96.9
49.2
13.2
65.5
72.2
51.2
42.4
45.9
66.4
55.3
32...

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...

18. You wish to test the following claim (Ha) at a significance
level of α=0.01. 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 μ1and μ2 are
so that the differences are computed correctly.)
Ho:μd=0
Ha:μd≠0
You believe the population of difference scores...

You wish to test the following claim ( H a ) at a significance
level of α = 0.01 . d denotes the mean of the difference between
pre-test and post-test scores. H o : μ d = 0 H a : μ d < 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:
post-test: 51.5, 61.4, 54.2, 49.8, 47, 55.4, 50.3, 48,...

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 ( H a ) at a significance
level of α = 0.02 . H o : μ 1 = μ 2 H a : μ 1 ≠ μ 2 You believe
both populations are normally distributed, but you do not know the
standard deviations for either. However, you also have no reason to
believe the variances of the two populations are not equal. You
obtain the following two samples of data. What is...

You wish to test the following claim (HA) at a significance
level of α=0.05. For the context of this problem, μD=μ2−μ1 where
the first data set represents a pre-test and the second data set
represents a post-test.
H0: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
55.5
-18.7
49.9
-4.3
48.3
24.4
59.2
106.5
46.8
-7.4
57.6
55.2
45.5
20...

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