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 provided was a carbohydrate replacement drink.

Data consistent with summary quantities appear in the table below.

	Time to Exhaustion (minutes)
Cyclist	1	2	3	4	5	6	7	8	9
Chocolate Milk	24.96	50.31	38.09	26.29	36.32	26.26	36.01	47.34	35.09
Carbohydrate Replacement	10.11	29.75	37.32	15.64	9.13	21.77	31.11	21.96	17.14

Is there evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink? Use a significance level of 0.05. (Use

μ_{chocolate milk} − μ_{carbohydrate replacement}.)

Find the test statistic. (Round your answer to one decimal place.)

t =

Find the df.

df =

Find the P-value. (Use technology to calculate the P-value. Round your answer to three decimal places.)

P-value =

State the conclusion in the problem context.

Fail to reject H₀. We do not have convincing evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink.

Fail to reject H₀. We have convincing evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink.    

  Reject H₀. We do not have convincing evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink

.Reject H₀. We have convincing evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink.

Answer 1

Solution:

State the conclusion in the problem context.

Answer: Reject H₀. We have convincing evidence that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink.