Question

Using traditional methods, it takes 11.4 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 29 students and observed that they had a mean of 11.1 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. Find the value of the test statistic. Round your answer to three decimal places.

Answer 1

The value of the test statistic is -0.950.

Explanation:

Consider the provided information.

It takes 11.4 hours to receive a basic driving license.

A researcher used the technique with 29 students and observed that they had a mean of 11.1 hours with a standard deviation of 1.7. A level of significance of 0.05

Therefore,
`\bar x=11.1`, μ=11.4, σ = 1.7 and n=29

Substitute these values in:
`t=\frac{\bar{x}-\mu}{(\sigma)/(√(n))}`

`t=(11.1-11.4)/((1.7)/(√(29)))`

`t=(-0.3)/(0.3157)`

`t=-0.950`

Hence, the value of the test statistic is -0.950.