Question

Using traditional methods, it takes 9.6 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 16 students and observed that they had a mean of 9.5 hours with a standard deviation of 1.6. 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. State the null and alternative hypotheses.

Answer 1

The null and alternative hypothesis are

H0: = 9.6

Ha: 9.6

Test statistics

z = - / ( S / sqrt(n) )

= 9.5 - 9.6 / (1.6 / sqrt(16) )

= -0.25

This is test statistics value.

Critical value at 0.1 level with 15 df = -1.753 , 1.753

Since test statistics value falls in non-rejection region, we fail to reject H0

We conclude at 0.1 level that we fail to support the claim.