Question

Using traditional methods, it takes 9696 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 150150 students and observed that they had a mean of 9595 hours. Assume the standard deviation is known to be 88. A level of significance of 0.050.05 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.

Answer 1

Answer:

The value of the test statistic is -1.53            

Step-by-step explanation:

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 96 hours

Sample mean, $\bar{x}$ = 95 hours

Sample size, n = 150

Alpha, α = 0.05

Population standard deviation, σ = 8 hours

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{95 - 96}{\frac{8}{\sqrt{150}} } = -1.53$

Thus, the value of the test statistic is -1.53