Question

Many Americans have high blood pressure which can lead to a number of serious conditions including heart attack and stroke. There are a number of drugs available to treat high blood pressure, but researchers are always seeking new ones with fewer side effects. In this experiment, researchers randomly selected 20 women from a pool with high-normal blood pressure to high blood pressure and measured their initial systolic blood pressure (in mm of Hg). They treated the subjects with an experimental blood pressure medicine for 4 weeks and then measured their blood pressure again after the treatment. They wanted to see if the medication decreased the systolic blood pressure of the patients.

A.) Are these samples in this data set paired samples, independent samples or a single sample?

B.) What kind of test would be best to use? (Mann-whitney, Paired t-test, Wilcoxon signed ranks, Two sample t-test, Anderson Darling, One sample t-test, the sign test, or a two-sample t-test)

C.) Using population parameters µ, θ, or *p,* identify
the null and alternative hypothesis.

D.) What should the alpha (α) value be for this study?

E.) Which of the choices best matches your interpretation of the results for this statistical test?

The results were significant so we reject the null hypothesis and support the alternative

The results were not significant so we fail to reject the null hypothesis

The results were not significant so we reject the null hypothesis and accept the alternative

The results were significant so we fail to reject the null hypothesis

record.number | individual | treatment | blood.pressure |

1 | 1 | initial | 148 |

2 | 2 | initial | 141 |

3 | 3 | initial | 162 |

4 | 4 | initial | 146 |

5 | 5 | initial | 146 |

6 | 6 | initial | 130 |

7 | 7 | initial | 147 |

8 | 8 | initial | 137 |

9 | 9 | initial | 152 |

10 | 10 | initial | 139 |

11 | 11 | initial | 130 |

12 | 12 | initial | 139 |

13 | 13 | initial | 145 |

14 | 14 | initial | 150 |

15 | 15 | initial | 167 |

16 | 16 | initial | 136 |

17 | 17 | initial | 134 |

18 | 18 | initial | 151 |

19 | 19 | initial | 144 |

20 | 20 | initial | 151 |

21 | 1 | treatment | 140 |

22 | 2 | treatment | 140 |

23 | 3 | treatment | 138 |

24 | 4 | treatment | 140 |

25 | 5 | treatment | 159 |

26 | 6 | treatment | 140 |

27 | 7 | treatment | 127 |

28 | 8 | treatment | 137 |

29 | 9 | treatment | 127 |

30 | 10 | treatment | 141 |

31 | 11 | treatment | 135 |

32 | 12 | treatment | 146 |

33 | 13 | treatment | 125 |

34 | 14 | treatment | 155 |

35 | 15 | treatment | 152 |

36 | 16 | treatment | 141 |

37 | 17 | treatment | 143 |

38 | 18 | treatment | 139 |

39 | 19 | treatment | 151 |

40 | 20 | treatment | 143 |

Answer #1

A.) Are these samples in this data set paired samples, independent samples or a single sample?

B.) What kind of test would be best to use? We shall be using a paired t-test comparing the Blood pressures of Initial and after treatment values.

C.) Using population parameters : Let denotes the population mean of the difference between the pre and post treatment values.

Null hypothesis: (The treatment did not give any effect on the blood pressure)

(The blood pressure reduced after the treatment)

D.) What should the alpha (α) value be for this study?

E.) Which of the choices best matches your interpretation of the results for this statistical test?

**The results were significant so we reject the null
hypothesis and support the alternative**

A group of six individuals with high blood pressure volunteered
to test whether petting cats for 10
minutes can alter systolic blood pressure levels. Systolic blood
pressures (in millimeters of mercury,
or mmHg) were measured for each subject before and after petting
cats for 10 minutes, with the
following results:
Individual
Before
After
1
162
151
2
188
143
3
159
107
4
185
166
5
197
140
6
197
177
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male
female
106
119
98
105
100
132
109
113
98
105
137
105
119
115
127
122
131
124
111
136
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A physician hypothesizes that males have higher systolic blood
pressure than females. The physician obtains a sample of patients
and measures their blood pressures during their regular check-up.
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male
female
106
119
98
105
100
132
109
113
98
105
137
115
119
115
127
122
131
124
111
136
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