9 e as other carbohydrate repla drinks, nine male cyclists To workout followed b

Question

9 e as other carbohydrate repla drinks, nine male cyclists To workout followed by a drink and a rest period. At the end of the rest period, each cyclist performed an exercised until exhausted milk was as an intense trial where he 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. 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 df down to the nearest whole number, and the P-value to three decimal places.) your test statistic to two decimal places, your ip Cyclist 2 3 4 5 6 7 8 9 Chocolate Milk 57.93 21.59 26.31 46.98 55.04 51.55 45.34 30.87 50.01 Carbohydrate 46.84 29.19 Replacement 28.43 5.75 42.90 25.74 8.54 16.39 37.94 is greater after chocolate milk t han after carbohydrate replacement drink? Use a significance level of 0.05. Yes No You may need to use the appropriate table in Appendix A to answer this question. Need Help? MacBook Air

Explanation / Answer

3.

Given that,
mean(x)=42.8467
standard deviation , s.d1=13.2065
number(n1)=9
y(mean)=26.8578
standard deviation, s.d2 =14.4882
number(n2)=9
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.86
since our test is right-tailed
reject Ho, if to > 1.86
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =42.8467-26.8578/sqrt((174.41164/9)+(209.90794/9))
to =2.45
| to | =2.45
critical value
the value of |t | with min (n1-1, n2-1) i.e 8 d.f is 1.86
we got |to| = 2.44677 & | t | = 1.86
make decision
hence value of | to | > | t | and here we reject Ho
p-value:right tail - Ha : ( p > 2.4468 ) = 0.02007
hence value of p0.05 > 0.02007,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 > u2
test statistic: 2.45
critical value: 1.86
decision: reject Ho
p-value: 0.02007

yes,
we have enough evidence to support the claim that mean time of exhaustion is greater after chocolate milk than after carbohydrate repalcement drink

Related Questions

Navigate

• Browse (All)
• Browse 9
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.