The paper "Exercise Thermoregulation and Hyperprolac-tinaemia" (Ergonomics, 2005: 1547-1557) discussed how various aspects of exercise capacity might depend on the temperature of the environment. The accompanying data on body mass loss (kg) after exercising on a semi-recumbent cycle ergometer in three different ambient temperatures (6°C, 18°C, and 30°C) was provided by the paper's authors.

a. Does temperature affect true average body mass loss? Carry out a test using a significance level of .01 (as did the authors of the cited paper).
b. Investigate significant differences among the temperatures.
c. The residuals are .20, .30, -.40, -.07, .30, .00, .03, -.20, -.14, .13, .23, -.27, -.04, .03, -.27, -.04, .33, -.10, -.33, -.53, .67, .11, -.33, .27, .01, -.13, .24. Use these as a basis for investigating the plausibility of the assumptions that underlie your analysis in (a).

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