In: Statistics and Probability
Scenario C: A team of health sciences students decided on a project that would give them experience with their statistical analysis skills as well as some practice in taking vital signs. They assembled a group of 40 undergraduate students, 20 science majors and 20 majors in other fields of study, brought them to a makeshift clinic in the science building and measured their blood pressures with a hand-held BP cuff. |
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What type of study is this? |
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What is the independent variable in this scenario, and what type is it? What is the dependent variable in this scenario, and what type is it? |
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What is the most appropriate measure of association to compare the systolic blood pressures between the two student groups? |
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What is the most appropriate statistical test to test the significance of this measure of association? |
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The science majors’ SBPs were: 100, 110, 116, 120, 122, 128, 128, 128, 130, 132, 132, 134, 140, 144, 146, 146, 150, 152, 154, 158. The other majors’ SBPs were: 112, 118, 120, 126, 130, 130, 130, 130, 140, 142, 144, 144, 146, 150, 158, 160, 170, 170, 172, 190. First calculate the appropriate measure of association. Then, test it statistically using the on-line tool found at http://studentsttest.com/. What are the results? |
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What do the results mean? |
What type of study is this? observational
What is the dependent variable in this scenario,
the systolic blood
and what type is it?
continuous
What is the independent variable in this scenario,
The two groups of undergradiate students
and what type is it?
continuous
the most appropriate measure of association to compare the systolic blood pressures between the two student groups is correlation coefficient
What is the most appropriate statistical test to test the significance of this measure of association is test for correlation coefficient
The test statistic
where r is the sample correlation and n is the sample size
the null hypothesis
it means no association between the variables
Alternative hypothesis
it means there exists association
sample correlation coefficient (r) berween variables =0.9603464
the test statistic is
the crittical value at 0.05 level of significance is
As t>t0.025;18 we would reject the null hypothesis.
What do the results mean?
Association is present berween the variables.
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