Diastolic blood pressure (DBP) measurements from the general population form a normal distribution with a m = 82 mmHg and s = 10 mmHg. Epidemiological studies have shown that smoking is a contributing factor to high DBP. Using data from a cohort study, a

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Research Scenario

Diastolic blood pressure (DBP) measurements from the general population form a normal distribution with a m = 82 mmHg and s = 10 mmHg.  Epidemiological studies have shown that smoking is a contributing factor to high DBP. Using data from a cohort study, a researcher obtained a sample of n = 100 smokers whose average DBP was x̅ = 90.  Do these data indicate that smoking is associated with significantly higher DBP in this sample?  Test with alpha=.05.

Note

In written format

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In mathematical format  

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State the alternative hypothesis

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-Continued below-

In mathematical format  

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Determine the Level of significance

Based on information in the scenario, what is the level of significance to be used?

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Step 2: Select the appropriate test statistic

The appropriate test statistic for the above scenario is the one-sample z test. What is a Z test?  Describe why this is the appropriate test for the scenario?

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Step 3: Set up the decision rule

Based on the level of significance you set in Step 1 (Question 5) and whether your alternative hypothesis is directional or non-directional, what is your decision rule? (In other words, what is your rejection region?)

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Step 4: Compute the test statistic

Calculate the z statistic.  Please show your work.

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Step 5: Conclusion

Do you reject or fail to reject the null hypothesis? 

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Is DBP affected by smoking in this sample?

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