Question

Using traditional methods it takes 9.0 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 on 21 students and observed that they had a mean of 8.6 hours with a standard deviation of 1.1. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 9

H_a : 9

Test statistic = t

= ( - ) / s / n

= (8.6 - 9) / 1.1 / 21

Test statistic = -1.67  

df = 20

P-value = 0.1105

= 0.05

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence at the 0.05 level that the technique performs differently than the traditional method .