Question

Using traditional methods, it takes 10.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 10.2 hours with a standard deviation of 1.5. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Make the decision to reject or fail to reject the null hypothesis. State the alternative and null hypotheses.

Answer 1

Solution :

Given that,

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 105

Ha: 10.5

The test statistics,

t =( - )/ (s /n)

= ( 10.2 - 10.5 ) / ( 1.5 / 26 )

= -1.020

P-value = 0.3175

The p-value is p = 0.3175 > 0.1, it is concluded that fail to reject the null hypothesis.