Researchers looked into the effect that sleep had on exercise endurance since st
ID: 3066702 • Letter: R
Question
Researchers looked into the effect that sleep had on exercise endurance since studies have shown that substantial sleep has a positive effect on exercise performance. A sample of 25 students had their endurance tested by measuring the length of time running at the same speed after at least 8 hours of sleep. The mean length of time for this group was 47 minutes with a sample standard deviation of 6.2. The same group was measured again on a different day after less than 8 hours of sleep the night before. This time the mean running time was 39 minutes with a standard deviation of 4.8. Researchers want to claim that an adequate night of sleep of at least 8 hours will result in better endurance.
Which type of test would you use to test this claim?
Two-sample z-test
Two-sample (pooled variance) t-test
Paired t-test
Two-sample (un-pooled variance) t-test
Wilcoxon rank-sum test
Explanation / Answer
as the person on whcih the experiments have been conducted are same threfore samples are dependent.
hence we should use Paired t-test
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