A study investigated the effectiveness of a new drug in lowering blood pressure. Subjects with mild hypertension were randomly assigned to Group 1, receiving a placebo, or Group 2, receiving the new drug. At the end of the trial, systolic blood pressure (mmHg) was measured for each subject. a) The 11 subjects in Group 1 had a mean blood pressure of 145.0 mmHg with a standard deviation of 5.08 mmHg, while the 13 subjects in Group 2 had a mean blood pressure of 142.3 mmHg with a standard deviation of 1.97 mmHg. The standard error of the difference in mean blood pressure between the treatment groups is 0.32 mmHg 0.78 mmHg 1.63 mmHg 2.64 mmHg b) The t statistic used to compare the two population means is 1.660 1.771 1.992 2.158 c) To do a t test by hand, we can use the minimum degrees of freedom from the two samples. Here the degrees of freedom to be used is 10 12 22 23 d) Based on the t test, using your degrees of freedom from Question 3, you can conclude that there is no evidence to suggest that there is a difference in mean systolic blood pressure between the two treatment groups (p = 0.669) no evidence to suggest that the mean systolic blood pressure is higher with the new drug (p = 0.237) weak evidence to suggest that the mean systolic blood pressure is lower with the new drug (p = 0.064) no evidence to suggest that there is a difference in mean systolic blood pressure between the two treatment groups (p = 0.872)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A study investigated the effectiveness of a new drug in lowering blood pressure. Subjects with mild hypertension were randomly assigned to Group 1, receiving a placebo, or Group 2, receiving the new drug. At the end of the trial, systolic blood pressure (mmHg) was measured for each subject.

a)

The 11 subjects in Group 1 had a mean blood pressure of 145.0 mmHg with a standard deviation of 5.08 mmHg, while the 13 subjects in Group 2 had a mean blood pressure of 142.3 mmHg with a standard deviation of 1.97 mmHg. The standard error of the difference in mean blood pressure between the treatment groups is

0.32 mmHg

0.78 mmHg

1.63 mmHg

2.64 mmHg

b)

The t statistic used to compare the two population means is

1.660

1.771

1.992

2.158

c)

To do a t test by hand, we can use the minimum degrees of freedom from the two samples. Here the degrees of freedom to be used is

10

12

22

23

d)

Based on the t test, using your degrees of freedom from Question 3, you can conclude that there is

no evidence to suggest that there is a difference in mean systolic blood pressure between the two treatment groups (p = 0.669)

no evidence to suggest that the mean systolic blood pressure is higher with the new drug (p = 0.237)

weak evidence to suggest that the mean systolic blood pressure is lower with the new drug (p = 0.064)

no evidence to suggest that there is a difference in mean systolic blood pressure between the two treatment groups (p = 0.872)

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