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 H₀: 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