st period, each cyclist performed an er me to exhaustion was measured. Each ent days. On one day the drink provide ed was a carbohydrate replacement d yed in the table below.

MATLAB: An Introduction with Applications
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2.
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 in which 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 time to exhaustion for the two scenarios is
displayed in the table below.
Cyclist
Chocolate Milk
Carbohydrate Replacement
1
24.85
10.02
2
50.09
29.96
3
38.30
37.40
Time to Exhaustion (minutes)
4
26.11
15.52
5
36.54
9.11
6
26.14
21.58
7
36.13
31.23
8
47.35
22.04
9
35.08
17.02
Use a 0.10 level of significance to test if there is evidence that the mean time to exhaustion is
greater after chocolate milk than after a carbohydrate replacement drink.
Transcribed Image Text:2. 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 in which 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 time to exhaustion for the two scenarios is displayed in the table below. Cyclist Chocolate Milk Carbohydrate Replacement 1 24.85 10.02 2 50.09 29.96 3 38.30 37.40 Time to Exhaustion (minutes) 4 26.11 15.52 5 36.54 9.11 6 26.14 21.58 7 36.13 31.23 8 47.35 22.04 9 35.08 17.02 Use a 0.10 level of significance to test if there is evidence that the mean time to exhaustion is greater after chocolate milk than after a carbohydrate replacement drink.
Expert Solution
Introduction

Here we have to test the mean time to exhaustion is greater after chocolate milk than after a  carbohydrate replacement drink. 

For this purpose we are using paired sample t test

The formula for a t-statistic for two dependent samples is:

t=DSDn

where D¯=X¯1X¯2 is the mean difference and is the sample standard deviation of the differences D¯=Xi1Xi2 for i=1, 2, ... , n.

 

 

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