Since previous studies have reported that elite athletes are often deficient in
ID: 3356825 • 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 = 201 women was 2403.7 kilocalories per day (kcal/d). The recommended amount is 2811.5 kcal/d.
For one part of the study, n = 114 male athletes from eight Canadian sports centers were surveyed. Their average caloric intake was 3078.0 kilocalories per day (kcal/d) with a standard deviation of 987.0. The recommended amount is 3422.5. Is there evidence that Canadian high-performance male athletes are deficient in their caloric intake?
(b) Carry out the test. (Round your answer for t to three decimal places.)
t =
Give the degrees of freedom.
Give the P-value. (Round your answer to four decimal places.)
(c) Construct a 95% confidence interval for the daily average deficiency in caloric intake. (Round your answers to one decimal place.)
(? ,? ) kcal/day
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 3422.5
HA : < 3422.5
Hypothesis test results:
95% confidence interval results:
Hence,
b) t = -3.727
Df = 113
P - value = 0.0002
c) 95% confidence interval:
(2894.9, 3261.1) kcal/day
Mean Sample Mean Std. Err. DF T-Stat P-value 3078 92.44102 113 -3.7267006 0.0002