Question

Using traditional methods it takes 8.6 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 on 22 students and observed that they had a mean of 9.0 hours with a variance of 1.96. Is there evidence at the 0.01

level that the technique lengthens the training time? Assume the population distribution is approximately normal.

Step 1 of 5: State the null and alternative hypotheses.

Step 2 of 5:

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

Step 3 of 5:

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

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:

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

Answer 1

given data are:-

a).hypothesis:-

b).the test statistic be :-

c).the test is one tailed (righ tailed )

d).df = (n-1) = (22-1) = 21

t critical value for alpha = 0.01, df =21, right tailed test = 2.517

decision rule :-

reject the null hypothesis if, test statistic > 2.517

e).test statistic = 1.340 < 2.517

we fail to reject the null hypothesis.

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