Using traditional methods, it takes 8.5 hours to receive a basic flying license.

Question

Using traditional methods, it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 21 students and observed that they had a mean of 8.6 hours with a variance of 2.89. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Explanation / Answer

This is a two tailed test.

Critical value = + t0.025,20 = +2.086

Rejection rule: If test statistic < -2.086 or test statistic > 2.086

Test statistic = (X bar - mean) / (s / sqrt(n)) = (8.6 - 8.5) / (2.89 / sqrt(21)) = 0.159

Since the test statistic lies between -2.086 and 2.086, we don't reject the null hypothesis

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