Problem

Using traditional methods it takes 104 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 60 students and observed that they had a mean of 105 hours. Assume the population standard deviation is known to be 6 . Is there evidence at the 0.01 level that the technique lengthens the training time? Step 5 of 6 : Identify the level of significance for the hypothesis test.

Solution

Step 1 :The problem is asking whether a new training technique using Computer Aided Instruction (CAI) lengthens the training time for receiving an advanced driving license. The traditional method takes 104 hours. The new technique was tested on 60 students and it was observed that they had a mean of 105 hours. The population standard deviation is known to be 6. We are asked to find evidence at the 0.01 level that the technique lengthens the training time.

Step 2 :The level of significance for a hypothesis test is the probability of rejecting the null hypothesis when it is true. It is denoted by alpha (\(\alpha\)).

Step 3 :In this case, the level of significance is given as 0.01. This means that there is a 1% chance that we will reject the null hypothesis when it is true.

Step 4 :This is a very strict level of significance, meaning we require very strong evidence to reject the null hypothesis.

Step 5 :\(\boxed{0.01}\) is the level of significance for the hypothesis test.

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