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Suppose we wanted to compare the somatic complaints (as measured on a scale known as the Physical Symptom Survey or PSS) of three groups of people; nonsmokers, smokers, and people who recently quit smoking. Using the following data for PSS scores, do a one-way ANOVA to test the hypothesis that the population means are equal:
Nonsmokers
Smokers
Quitters
19
26
37
23
29
32
17
22
27
20
30
41
38
1. What are the means and SDs for the three groups?2. What is the SS total? SS between and SS within?3. What is the MS between? MS within?4. What is the df for between, df for within?5. What is the value of F? Using an alpha of .05, is the F statistically significant?6. Attach your SPSS output
What is a hypothesis test? Why do we need to use them to make decisions about relating sample results to the population; why can’t we just make our decisions by the sample value?
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