Question

Using traditional methods it takes 93 hours to receive an advanced driving license. A new training technique using Computer-Aided Instruction (CAI) has been proposed. A researcher believes the new technique may lengthen training time and decides to perform a hypothesis test. After performing the test on 180 students, the researcher decides to reject the null hypothesis at a 0.100.10 level of significance.

What is the conclusion?

Answer 1

There is enough evidence to support the claim that new technique lengthen training time.

Explanation:

We are given the following in the question:

Population mean, μ = 93 hours

Sample size, n = 180

Alpha, α = 0.10

First, we design the null and the alternate hypothesis

`H_(0): \mu = 93\text{ hours}\\H_A: \mu > 93\text{ hours}`

The null hypothesis states that the sample is taken from the population and average time to receive a adult driving licence is 93 hours.

The alternate hypothesis states that there is a increase in this time and is greater than 93 hours.

The null hypothesis is rejected at 0.10 level of significance.

Conclusion:

We can conclude that at 0.10 level of significance that is with 90% confidence there is enough evidence to support the claim that new technique lengthen training time.