Time to Exhaustion (minutes) Сyclist 1 4 7 8 Chocolate Milk 52.89 50.24 27.01 57.93 58.50 30.15 59.58 56.55 56.39 Carbohydrate Replacement 16.23 51.52 51.02 43.23 32.68 26.85 42.79 28.07 50.55

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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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. (Use a statistical computer package to calculate the P-value. Subtract the carbohydrate replacement times from the chocolate milk times. Round your test statistic to two decimal places, your df down to the nearest whole number, and the P-value to three decimal places.)

t= 1.93 
df= 8
p=? 
 
Is there sufficient evidence to suggest that the mean time to exhaustion is greater after chocolate milk than after carbohydrate replacement drink? Use a significance level of 0.05.
answer: Yes
Time to Exhaustion (minutes)
Cyclist
1
4
7
8
6.
Chocolate
52.89 50.24 27.01 57.93 58.50 30.15 59.5856.55 56.39
Milk
Carbohydrate
Replacement
16.23 51.52 51.02 43.23 32.68 26.85 42.79 28.07 50.55
Transcribed Image Text:Time to Exhaustion (minutes) Cyclist 1 4 7 8 6. Chocolate 52.89 50.24 27.01 57.93 58.50 30.15 59.5856.55 56.39 Milk Carbohydrate Replacement 16.23 51.52 51.02 43.23 32.68 26.85 42.79 28.07 50.55
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