6.Human beta-endorphin (HBE) is a hormone secreted by the pituitary gland under
ID: 2959613 • Letter: 6
Question
6.Human beta-endorphin (HBE) is a hormone secreted by the pituitary gland under conditions of stress. A researcher conducted a study to investigate whether a program of regular exercise might affect the resting (unstressed) concentration of HBE in the blood. He measured blood HBE levels, in January and again in May, in ten participants in a physical fitness program. The results were as shown in the table.
HBE Level (pg/mLi)
Participant January May Difference
1 42 22 20
2 47 29 18
3 37 9 28
4 9 9 0
5 33 26 7
6 70 36 34
7 54 38 16
8 27 32 -5
9 41 33 8
10 18 14 4
Mean 37.8 24.8 13.0
SD 17.6 10.9 12.4
i. Conduct a 95% confidence interval for the population mean difference in HBE levels between January (unstressed level) and May (HBE level possibly perturbed by exercise). (Hint: You need to use only the values in the right-hand column.)
ii. Interpret the confidence interval from the first part - that is explain what the confidence interval tells you about the HBE levels.
iii. Use the SOCR (http://www.socr.ucla.edu/htmls/ana/ConfidenceInterval_Analysis.htmlConfidence) Interval Analysis applet to compute the interval for the population mean difference between January and May (paste in all 4 columns in the data tab, choose mean unknown variance in teh CI Settings tab, map the 4th column, difference, as the data column in the Mapping tab, and finally click Calculate button). Compare these results to your manual calculations.
Explanation / Answer
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