Since previous studies have reported that elite athletes are often deficient in
ID: 3268296 • 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=216n=216 women was 2401.72401.7 kilocalories per day (kcal/d). The recommended amount is 2811.52811.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake?
Assuming a standard deviation of 878878 kcal/d, carry out the test. Can we reject the null hypotheses?
H0:=2811.5H0:=2811.5 versus Ha:<2811.5Ha:<2811.5
H0:=2811.5H0:=2811.5 versus Ha:>2811.5Ha:>2811.5
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=216n=216 women was 2401.72401.7 kilocalories per day (kcal/d). The recommended amount is 2811.52811.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake?
Assuming a standard deviation of 878878 kcal/d, carry out the test. Can we reject the null hypotheses?
H0:=2811.5H0:=2811.5 versus Ha:<2811.5Ha:<2811.5
H0:=2811.5H0:=2811.5 versus Ha:>2811.5Ha:>2811.5
H0:=2811.5H0:=2811.5 versus Ha:2811.5Ha:2811.5
zz (±± 0.001) =
PP (±± 0.0001) =
Conclusion:
We don't have evidence of belowrecommended caloric consumption among female Canadian high-performance athletes
We have evidence of belowrecommended caloric consumption among female Canadian high-performance athletes
H0:=2811.5H0:=2811.5 versus Ha:<2811.5Ha:<2811.5
H0:=2811.5H0:=2811.5 versus Ha:>2811.5Ha:>2811.5
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=216n=216 women was 2401.72401.7 kilocalories per day (kcal/d). The recommended amount is 2811.52811.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake?
Assuming a standard deviation of 878878 kcal/d, carry out the test. Can we reject the null hypotheses?
H0:=2811.5H0:=2811.5 versus Ha:<2811.5Ha:<2811.5
H0:=2811.5H0:=2811.5 versus Ha:>2811.5Ha:>2811.5
H0:=2811.5H0:=2811.5 versus Ha:2811.5Ha:2811.5
zz (±± 0.001) =
PP (±± 0.0001) =
Conclusion:
We don't have evidence of belowrecommended caloric consumption among female Canadian high-performance athletes
We have evidence of belowrecommended caloric consumption among female Canadian high-performance athletes
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 2811.5
HA : < 2811.5
Standard deviation = 878
Hypothesis test results:
Hence,
Hypotheses: Option A
z = -6.860
p Value = 0.0000
Conclusion: We have evidence of belowrecommended caloric consumption among female Canadian high-performance athletes. Option B
Mean n Sample Mean Std. Err. Z-Stat P-value 216 2401.7 59.740333 -6.8596872 <0.0001