Question

Using traditional methods, it takes 11.5 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 17 students and observed that they had a mean of 11.9 hours with a standard deviation of 1.7. 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

H0: = 11.5

Ha: 11.5

Test statistics

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

= (11.9 - 11.5) / ( 1.7 / sqrt(17) )

= 0.97

df = n - 1 = 17 - 1 = 16

From T table,

t critical value at 0.05 significance level with 16 df = 2.12

Since test statistics < 2.12, Do not reject h0.

We conclude at 0.05 level that we fail to support the claim that the technique performs differently

  than the traditional method.