Question

Using traditional methods, it takes 11.211.2 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 2525 students and observed that they had a mean of 11.311.3 hours with a variance of 4.004.00. A level of significance of 0.050.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

Answer

Answer 1

Solution :

This is the two tailed test,  

The null and alternative hypothesis is ,

H0 :   = 11.2

Ha :    11.2

Test statistic = t =

= ( - ) / s / n

= (11.3- 11.2) / 2.0 / 25

Test statistic = t = 0.25

degrees of freedom = n - 1 = 25 - 1 = 24

P(t > 0.25) = 1-P (t < 0.25) = 1 - 0.5976 = 0.4024

P-value = 2 * P(t > 0.25)

P-value = 2 * 0.4024

P-value = 0.8048

= 0.05  

P-value >

Fail to reject the null hypothesis .