A researcher is testing the hypothesis that consuming a sports drink during exer

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

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