An investigator theorizes that people who participate in regular exercise will have levels of systolic blood pressure that are significantly different, higher or lower, from that of people who do not participate in regular exercise. To test this idea, the investigator randomly assigns 21 subjects to an exercise program for 10 weeks and another 21 subjects to a non-exercise comparison group. After ten weeks, the mean systolic blood pressure of the subjects in the exercise group is M₁ = 127 and the standard deviation is s₁ = 10. In the non-exercise group, the mean is M₂ = 137 and the standard deviation is s2 = 9.0. Please test the investigator's theory using an alpha level of 0.05, two tailed.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A) Which of these best represents the null and alternative hypotheses?

a. H0: M1-M2 = 0; H1: M1-M2 ≠ 0

b. H0: M1 ≠ M2; H1: M1 = M2

c. H0: M1-M2 = 0; H1: M1+M2 > 0

d. H0: M1-M2 ≠ 0; H1: M1-M2 = 0

B) What is the pooled variance? s2=

C) What is the estimated standard error for the mean difference? s(m1-m2=

An investigator theorizes that people who participate in regular exercise will
have levels of systolic blood pressure that are significantly different, higher
or lower, from that of people who do not participate in regular exercise.
To test this idea, the investigator randomly assigns 21 subjects to an
exercise program for 10 weeks and another 21 subjects to a non-exercise
comparison group. After ten weeks, the mean systolic blood pressure of the
subjects in the exercise group is M₁ = 127 and the standard deviation is s₁ =
10. In the non-exercise group, the mean is M₂ = 137 and the standard
deviation is s2 = 9.0. Please test the investigator's theory using an alpha level
of 0.05, two tailed.
Transcribed Image Text:An investigator theorizes that people who participate in regular exercise will have levels of systolic blood pressure that are significantly different, higher or lower, from that of people who do not participate in regular exercise. To test this idea, the investigator randomly assigns 21 subjects to an exercise program for 10 weeks and another 21 subjects to a non-exercise comparison group. After ten weeks, the mean systolic blood pressure of the subjects in the exercise group is M₁ = 127 and the standard deviation is s₁ = 10. In the non-exercise group, the mean is M₂ = 137 and the standard deviation is s2 = 9.0. Please test the investigator's theory using an alpha level of 0.05, two tailed.
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