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 used the technique on 40 students and observed that they had a mean of 91 hours. Assume the population variance is known to be 25. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

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

Answer 1

The test hypothesis is

This is a two-sided test because the alternative hypothesis is formulated to detect hypothesized mean value on either side.
Now, the value of test static can be found out by following formula:

Since P-value of a two tailed test is equal to

Since P = 1.9885872 is greater than 0.05 ,we fail to reject the null hypothesis H_0:

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