Since previous studies have reported that elite athletes are often deficient in

Question

Since previous studies have reported that elite athletes are often deficient in their nutritional intake (for example, total calories, carbohydrates, protein), a group of researchers decided to evaluate Canadian high-performance athletes. A total of n = 324 athletes from eight Canadian sports centers participated in the study. One reported finding was that the average caloric intake among the n= 201 women was 2, 403.7 kilocalories per day (kcal/d). The recommended amount is 2, 817.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? Is this result significant at the 5% level? (a) state the appropriate H_0 and H_a to test this. H_0: mu = 2, 817.5 kcal/d: H_a: mu 2, 817.5 kcal/d H_0: mu

Explanation / Answer

Solution:-

for n = 201

Z = (X - ) / (/sqrt(n))
Z = (2403.7 - 2817.5) / (830/sqrt(201)
Z = -7.068

for n = 324

Z = (X - ) / (/sqrt(n))
Z = (2403.7 - 2817.5) / (830/sqrt(324)

Z = -8.973

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