Question

Using traditional methods, it takes 96 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 150 students and observed that they had a mean of 95 hours. Assume the standard deviation is known to be 88. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places.

Sample size = n = 150

Sample mean = = 95

Population standard deviation = = 88

Claim: The technique performs differently than the traditional method.

The null and alternative hypothesis is

Level of significance = 0.05

Here population standard deviation is known so we have to use z-test statistic.

Test statistic is

Critical value = 1.96 ( Using z table)

Critical value > Test statistic | z | we fail reject the null hypothesis.

Conclusion: the technique performs NOT differently than the traditional method.

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