Question

sing traditional methods, it takes 108108 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 110110 students and observed that they had a mean of 107107 hours. Assume the standard deviation is known to be 77. A level of significance of 0.020.02 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.

Answer 1

`z_(stat) = -1.50`

Explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean,
`\bar{x}` = 107

Sample size, n = 110

Alpha, α = 0.02

Population standard deviation, σ = 7

Formula:

`z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }`

Putting all the values, we have

`z_(stat) = \displaystyle(107 - 108)/((7)/(√(110)) ) = -1.50`

The test statistic is -1.50