Using traditional methods, it takes 8.1 hours to receive a basic flying license.

Question

Using traditional methods, it takes 8.1 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 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2 . A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

Explanation / Answer

Solution:

Given that x = 8.2, = 1.2, n = 23

Test Hypothesis:
Ho : = 8.1
H1 : is different from 8.1

t = (x-)/(/sqrt(n))
= ( 8.2 - 8.1)/( 1.2/sqrt(23))

t = 0.39

df = 22, alpha = 0.1

critical values are ± 1.717

since t > -1.717 and t < 1.717 we fail to reject Ho

conclusion

the technique performs are not differently than the traditional method.

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