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  3. 2 hoaglin mosteller and tukey 1983 present data on blood...

Question: 2 hoaglin mosteller and tukey 1983 present data on blood...

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2. Hoaglin, Mosteller, and Tukey (1983) present data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery (12h), and again 10 minutes before surgery (10m). The data are presented in the table below, in fmol/ml ID 1 12h 10.0 6.5 8.0 12.0 5.011.5 5.0 3.5 7.5 5.8 10m 6.514.0 13.5 18.0 14.59.0 18.0 42.0 7.5 6.0 2 4 6 8 9 10 ID | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18119 12h 4.7 8.0 7.0 17.0 8.817.0 15.0 4.4 2.0 10m 25.0 12.0 52.0 20.0 16.0 15.0 11.5 2.5 2.0 The table below includes summary statistics for the sample: Mean 8.35 16.05 7.7 Standard Deviation 4.397 12.509 13.519 12h 10m Difference (10m-12h) Based on these data, what effect does increased stress have on endorphin levels? When addressing this question, use a significance level of .05. (a) Why would this problem most likely be addressed by using a dependent t as the statistical test? (b) Given the following null and alternative hypotheses, compute the appropriate test statistic. (c) what is the decision rule for making a decision about the null hypothesis? i.e., what is the critical value(s) that would be used for this problem? (d) What is the decision regarding the null hypothesis? (e) Based on the results, what practical conclusion might we come to with regard to stress and endorphin levels?

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