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

ID: 2932173 • Letter: S

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 = 206 women was 2,403.7 kilocalories per day (kcal/d). The recommended amount is 2,822.5 kcal/d. The recommended amount is 2,822.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? Is this result significant at the 5% level? Answered:

(b) Assuming a standard deviation of 860 kcal/d, carry out the test. (Round your value for z to two decimal places and round your P-value to four decimal places.)

z = P-value =

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 2822.5
HA : < 2822.5
Standard deviation = 860

Hypothesis test results:

Hence,

z = -6.99

P - value = 0.0000

Mean n Sample Mean Std. Err. Z-Stat P-value 206 2403.7 59.919039 -6.9894312 <0.0001