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Pain tolerance study. A study published in Psychosomatic Medicine (March/April 2001) explored the relationship between reported severity of pain and actual pain tolerance in 337 patients who suffer from chronic pain. Each patient reported his/her severity of chronic pain on a 7-point scale (1 = no pain, 7 = extreme pain). To obtain a pain tolerance level, a tourniquet was applied to the arm of each patient and twisted. The maximum pain level tolerated was measured on a quantitative scale.
(a) According to the researchers, ‘‘correlational analysis revealed a small but signi?cant inverse relationship between [actual] pain tolerance and the reported severity of chronic pain.'' Based on this statement, is the value of r for the 337 patients positive or negative?
(b) Suppose that the result reported in part a is signi?cant at α = .05. Find the approximate value of r for the sample of 337 patients. [Hint:Use the formula t = r√(n - 2)//(1 - r2).]
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WEIGHT CHANGE (%)
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DIGESTION EFFICIENCY (%)
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ACID-DETERGENT FIBER (%)
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27.5
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32.5
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