Question

A nurse researcher hypothesized that back rubs lower systolic blood pressure in geriatric patients. She studied 9 nursing home patients. Blood pressures were measured before and then after a 10-minute back rub. Do we have evidence that systolic blood pressure is lower after the back rub for geriatric patients? Use the 0.05 level of significance.

Patient |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |

Before |
140 |
160 |
180 |
140 |
160 |
180 |
150 |
170 |
180 |

After |
130 |
150 |
180 |
150 |
150 |
160 |
150 |
140 |
180 |

a) We are testing H_{0}: μ_{before} =
μ_{after} ( μ _{0} = 0) versus what
alternative?

H_{a}: μ_{before} ________ μ_{after}

b) What is the test statistic?

c) What is the p-value?

d) What is your conclusion?

Answer #1

a)

Let us suppose the hypothesis

Ho:Null hypothesis

Ha:Alternate hypothesis

b)

Value of test statstic will be

Using the excel value of mean and standard deviation is shown below

Patient | Before | After |

1 | 140 | 130 |

2 | 160 | 150 |

3 | 180 | 180 |

4 | 140 | 150 |

5 | 160 | 150 |

6 | 180 | 160 |

7 | 150 | 150 |

8 | 170 | 140 |

9 | 180 | 180 |

Mean |
162.2 |
154.4 |

S.D |
15.476 |
16.67 |

c)

**c)**

**T stat value is 1.02**

Here degree of freedom is n1+n2-2=18-2=16

**value of p will be 0.32**

**d)**

**Because Value of p is greater than level of significance
0.05**

**It means Result are not
significant**

**It means there is no significant difference exist after
the back rub for patients**

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