13) A group of medical researchers are developing a treatment program that is intended to reduce blood pressure levels of patients who are at risk of heart diseases. They have selected a random sample of 12 patients and measured their systolic blood pressure levels. Then they were given the treatment for 4 weeks and remeasured the systolic blood pressure levels. The observations before and after the treatment program are shown below: Patient 1 2 3 4 5 6 7 8 9 10 11 12 Before 145 134 155 140 138 150 148 152 129 142 149 137 After 134 132 145 143 134 146 134 150 125 138 140 132 Use 5% significance level to test the claim that the treatment program lowers the systolic blood pressure level on average. a) What are the null and alternative hypotheses for this test? b) What are the mean differences (before - after) and the standard deviation of differences for this sample of 12 patients? Give two decimal places. c) What is value of the test statistic? Give four decimal places d) What is the p-value? Give four decimal places e) What is your conclusion? Explain in terms of the claim that the treatment lowers the blood pressure level.
13) A group of medical researchers are developing a treatment program that is intended to reduce blood pressure levels of patients who are at risk of heart diseases. They have selected a random sample of 12 patients and measured their systolic blood pressure levels. Then they were given the treatment for 4 weeks and remeasured the systolic blood pressure levels. The observations before and after the treatment program are shown below:
|
Patient |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
|
Before |
145 |
134 |
155 |
140 |
138 |
150 |
148 |
152 |
129 |
142 |
149 |
137 |
|
After |
134 |
132 |
145 |
143 |
134 |
146 |
134 |
150 |
125 |
138 |
140 |
132 |
Use 5% significance level to test the claim that the treatment program lowers the systolic blood pressure level on average.
a) What are the null and alternative hypotheses for this test?
b) What are the mean differences (before - after) and the standard deviation of differences for this sample of 12 patients? Give two decimal places.
c) What is value of the test statistic? Give four decimal places
d) What is the p-value? Give four decimal places
e) What is your conclusion? Explain in terms of the claim that the treatment lowers the blood pressure level.
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