A researcher is testing the hypothesis that consuming a sports drink during exer
ID: 2958986 • Letter: A
Question
A researcher is testing the hypothesis that consuming a sports drink during exercise improves endurance. A sample of n = 50 male college students is obtained and each student is given a series of three endurance tasks and asked to consume 4 ounces of the drink during each break between tasks. The overall endurance score for this sample is M = 53. For the general population, without any sports drink, the scores for this task average µ = 50 with a standard deviation of s = 12.a. Can the researcher conclude that endurance scores with the sports drink are significantly higher than scores without the drink? Use a one
Explanation / Answer
Given n=50, xbar=53, s=12
The test hypothesis is
Ho:<50
Ha:>50
The test statistic is
Z=(xbar - )/(s/n)
=(53-50)/(12/sqrt(50))
=1.77
If =0.05, the critical value is Z(0.05)=1.645 (check standard normal table)
Since Z=1.77>1.645, we reject Ho. So we can conclude that endurance scores with the sports drink are significantly higher than scores without the drink