The following data on gross efficiency (ratio of work accomplished per minute to calorie expenditure per minute) for trained endurance cyclists were given in the article “Cycling Efficiency Is Related to the Percentage of Type I Muscle Fibers” (Medicine and Science in Sports and Exercise [1992]: 782–88):

a. Assuming that the distribution of gross energy in the population of all endurance cyclists is normal, give a point estimate of μ, the population mean gross efficiency.

b. Making no assumptions about the shape of the population distribution, estimate the proportion of all such cyclists whose gross efficiency is at most 20.

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