Question

Using traditional methods, it takes 94 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 80 students and observed that they had a mean of 92 hours. Assume the standard deviation is known to be 6. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method? Perform a Hypothesis Test.

Answer #1

This hypothesis test is a two tailed test .

The null and alternative hypothesis is

H_{0} :
= 94

H_{a} :
94

Test statistic = z

= ( - ) / / n

= (92 - 94) / 6 / 80

Test statistic = -2.981

P-value = 0.0029

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the claim that the technique performs differently

than the traditional method .

Using traditional methods it takes 94.094.0 hours to receive a
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