Question

Using traditional methods, it takes 97 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 90 students and observed that they had a mean of 99 hours. Assume the standard deviation is known to be 7. A level of significance of 0.02 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? What is the conclusion?

There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

There is sufficient evidence to support the claim that the technique performs differently than the traditional method.

Answer 1

H0: = 97

Ha: 97

Test statistics

z = - / ( / sqrt(n) )

= 99 - 97 / (7 / sqrt(90) )

= 2.71

This is test statistics value.

Critical values at 0.02 level are -2.326 , 2.326

Since test statistics falls in rejection region, we have sufficient evidence to reject H0.

We conclude at 0.02 level that,

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

traditional method.