Question

Using traditional methods, it takes 96 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 290 students and observed that they had a mean of 95 hours. Assume the standard deviation is known to be 8. 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.

Enter the value of the test statistic.

We are given population mean  $\mu$ = 96 hours and population standard deviation $\sigma$ = 8 , reseacher studied the sample of 290 students and its mean xbar= 95 .

The sample size is greater than 30 and population standard deviation is known , so we use z test statistic

Z = ( xbar - $\mu$ )/($\sigma$/√n)

Z = (95-96)/(8/√290)

Z = -2.13

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