Question

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
the following sample of data:

pre-test | post-test |
---|---|

51.9 | 69.5 |

52.9 | 4.9 |

59.4 | 29.8 |

56.8 | -33.5 |

54.9 | 45.9 |

58.8 | -10.6 |

52.3 | 98.1 |

58.2 | 4.9 |

55.8 | 130.3 |

53 | 77.5 |

52.5 | 51.2 |

59 | 46.7 |

50.8 | 52.9 |

51.5 | -10.1 |

48.4 | 23.6 |

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

test statistic =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

p-value =

Answer #1

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=0.005α=0.005. 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
the following sample of data:
pre-test
post-test
65.3
66.1
30.7
27.1
46.6
56.6
56.3
73.5
What is the critical value for...

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=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=46n=46 subjects. The average
difference (post - pre) is ¯d=7.2d¯=7.2 with a standard deviation
of the...

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=0.01α=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=12n=12 subjects. The average
difference (post - pre) is ¯d=7.1d¯=7.1 with a standard deviation
of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10. 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=117n=117 subjects. The average
difference (post - pre) is ¯d=4d¯=4 with a standard deviation of
the...

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 pre-strike
production and the second data set represents post-strike
production.
Ho:μd=0Ho:μd=0
HA:μd<0HA:μd<0
You believe the population difference of production is normally
distributed, but you do not know the standard deviation. You obtain
pre-strike and post-strike production samples for n=6n=6 subjects.
The average difference (post - pre) is ¯d=−47.4d¯=-47.4 with a
standard deviation of...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10. 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
the following sample of data:
pre-test
post-test
56.3
79.6
61.1
80.6
55.5
57.7
58.7
72.7
60.2
42.6
51
23
56.3
51.5...

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...

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