To determine if chocolate milk was as effective as other carbohydrate replacemen

Question

To determine if chocolate milk was as effective as other carbohydrate replacement drinks, nine male cyclists performed an intense workout followed by a drink and a rest period. At the end of the rest period, each cyclist performed an endurance trial where he exercised until exhausted and time to exhaustion was measured. Each cyclist completed the entire regimen on two different days. On one day the drink provided was chocolate milk and on the other day the drink provide was a carbohydrate replacement drink. Data consistent with summary quantities appear in the table below.

Explanation / Answer

from above t =mean difference/std error =11.389/5.94 =1.917

for above degree of freedom df=n-1 =9-1 =8

for above t and 8 degree of freedom p value =0.044

as p value is less then 0.05 there is sufficient evidence that mean time of exhaustion is greater after chocolate milk.

hence Yes.

cyclist chocolate milk carbohydrate difference(d) 1 39.03 20.52 18.51 2 34.83 20.76 14.07 3 43.29 10.39 32.9 4 50.2 47.46 2.74 5 52.38 19.19 33.19 6 26.61 43.02 -16.41 7 30.3 18.6 11.7 8 28.35 42.07 -13.72 9 53.7 34.18 19.52 mean 11.389 std deviaition 17.819 std error= std dev/(n)^(1/2) 5.940

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