Question

Using traditional methods, it takes 8.1 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 14 students and observed that they had a mean of 8.3 hours with a standard deviation of 1.1. A level of significance of 0.05 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

Solution :

This is the two tailed test,  

The null and alternative hypothesis is ,

H0 :   = 8.1

Ha :    8.1

Test statistic = t =

= ( - ) / / n

= (8.3 - 8.1) / 1.1 / 14

Test statistic = t = 0.68

P(t > 0.68 ) = 1-P (t < 0.68) = 1 - 0.7458 = 0.2542

P-value = 2 * P(t > 0.68 )

P-value = 2 * 0.2542

P-value = 0.5084

= 0.05  

P-value >

Fail to reject the null hypothesis .