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1. An investigator conducts a study to investigate whether mean peak expiratory flow (PEF) is lower in children with chronic bronchitis as compared to those without. Data on PEF are collected and summarized below. Based on the data, is there statistical evidence of a lower mean PEF in children with chronic bronchitis as compared to those without? Run the appropriate test at a=0.05.
Group
Number of Children
Mean PEF
StdDev PEF
Chronic Bronchitis
25
281
68
No Chronic Bronchitis
319
74
What are the null and alternative hypotheses?
1.
Ho: µ1 = µ2 vs. H1: µ1 ≠ µ2
2.
Ho: µ1 = µ2 vs. H1: µ1 < µ2
3.
Ho: µd = 0 vs. H1: µd ≠ 0
4.
Ho: p=0.5 vs. H1: p>0.5
2. What is the appropriate test statistic for #5?
matched z-test
independent samples z-test
matched t-test
independent samples t-test
5.
chi-square test of independence
3. You compute the test statistic for the above study and find that the probability of obtaining a value this large is less than .05. What is your decision?
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