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 provided was a carbohydrate replacement drink. The data are: Cyclist 1 2 3 4 5 6 7 8 9
Chocolate milk 24.85 50.09 38.30 26.11 36.54 26.14 36.13 47.35 35.08
Carbohydrate Replacement 10.02 29.96 37.40 15.52 9.11 21.58 31.23 22.04 17.02
a) Is there evidence that the mean time to exhaustion is greater after chocolate milk that after carbohydrate replacement drinks? Test at a 5% level of significance; find critical value(s).
For each test of hypothesis, follow these steps to answer the question.
i) Write the null and alternate hypothesis.
ii) Write the formula for the test statistic and carry out the calculations by hand.
iii) Find the p-value or critical value as indicated in the question.
iv) What is the decision (i. e. to reject or fail to reject the null hypothesis)?
v) What is the final conclusion that addresses the original question?
b) Preform this test on Excel and print your output.