Sports and Achilles Tendon Injuries Sportsthat involve a significant amount of running

Chapter 7, Problem 34

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Sports and Achilles Tendon Injuries Sportsthat involve a significant amount of running, jumping,or hopping put participants at risk for Achillestendinopathy (AT), an inflammation and thickening ofthe Achilles tendon. A study in The American Journalof Sports Medicine looked at the diameter (in mm) ofthe affected and nonaffected tendons for patients whoparticipated in these types of sports activities.10 Supposethat the Achilles tendon diameters in the generalpopulation have a mean of 5.97 millimeters (mm) witha standard deviation of 1.95 mm.a. What is the probability that a randomly selected sampleof 31 patients would produce an average diameterof 6.5 mm or less for the nonaffected tendon?b. When the diameters of the affected tendon weremeasured for a sample of 31 patients, theaverage diameter was 9.80. If the average tendondiameter in the population of patients with AT is nodifferent than the average diameter of the nonaffectedtendons (5.97 mm), what is the probabilityof observing an average diameter of 9.80 or higher?c. What conclusions might you draw from the resultsof part b?

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