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In: Statistics and Probability

In a psychology experiment reported in American Statistician , 25 female students completed a questionnaire measuring...

In a psychology experiment reported in American Statistician , 25 female students completed a questionnaire measuring their fear of negative evaluation ("FNE" – a higher score indicates greater fear of negative evaluation). Eleven of the students were known to suffer from the eating disorder bulimia. The FNE scores are given here (scores of the bulimia sufferers in the top row).
10 13 13 14 16 19 20 21 21 24 25   
6 7 8 10 11 13 13 15 16 18 19 19 20 23
1. What parameter did the psychologists investigate? In which populations? What seems to be the point of this investigation?
2. Compute the mean FNE score in each sample. Which group appears to have the higher average FNE scores?
3. Use your calculator or other computational resource to verify these 95% confidence intervals for mean FNE scores:   
- students suffering from bulimia (14.5, 21.1)   
- students with normal eating habits (11.1, 17.2)
- Describe the procedures you used.
4. What assumptions are required for these intervals to be valid?
a) about the sample?
b) about the population?
5. Interpret each confidence interval with a sentence that begins "I'm 95% sure that..."
5. Would 90% confidence intervals be wider or narrower? Explain.
6. Notice that the two intervals overlap (the low end of the first interval is lower than the high end of the second interval). What does that say about the mean FNE scores of students in the two populations?

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