Question

A nurse researcher hypothesized that back rubs lower systolic blood pressure in geriatric patients. She studied...

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: μbefore = μafter ( μ 0 = 0) versus what alternative?

Ha: μbefore ________ μafter

b) What is the test statistic?

c) What is the p-value?

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