Question

Using traditional methods it takes 106 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 40 students and observed that they had a mean of 105 hours. Assume the population standard deviation is known to be 4. Is there evidence at the 0.02 level that the technique reduces the training time?

Step 1 of 6:

State the null and alternative hypotheses.

Step 2 of 6:

Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:

Specify if the test is one-tailed or two-tailed.

Step 4 of 6:

Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6:

Identify the level of significance for the hypothesis test.

Step 6 of 6:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

We are asked to test the hypothesis that the technique reduces the training time given the following data

1) Null hypothesis

i.e., the technique does not reduce the training time

i.e., the technique reduces the training time.

2) Test statistic under H₀

3) The test is one-tailed test since we are testing the alternate hypothesis that the technique reduces the training time.

4) The p-value is 0.06 from standard normal tables

5) The significance level is 0.02

6) Since our p-value is greater(0.06) than the significance level(0.02), we reject the null hypothesis.

Hence we conclude that the technique does not reduce the training time.