In a study testing the impact of sleep deprivation on a computerized task mistak

Question

In a study testing the impact of sleep deprivation on a computerized task mistakes, researchers found that those deprived of sleep had a mean number of mistakes of 24.00 compared to a mean of 14.7 for those in the control condition. The calculated t statistic was 2.365 and the critical t value was 2.262 (assuming = .05) and the conclusion was that sleep deprivation significantly reduced performance on the computerized task. If the researchers have made an error, would it be a Type or a Type ll error? 2.

Explanation / Answer

Here as we are rejecting the null hypothesis because the test statistic value is greater than the critical value, therefore the only error that could be made here is the type I error that is the error of incorrectly rejecting a true null hypothesis.

Therefore the type I error might be committed and the probability of such error occuring is equal to the level of significance for the test that is 0.05 here.

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