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Using traditional methods it takes 9292 hours to receive an advanced flying license. A new training...

Using traditional methods it takes 9292 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 7070 students and observed that they had a mean of 9393 hours. Assume the population variance is known to be 3636. Is there evidence at the 0.050.05 level that the technique lengthens the training time?

Step 1 of 6 :  

State the null and alternative hypotheses.

Math   Statistics-And-Probability   
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Answer #1

Step 1 of 6 : The null and alternative hypothesis is ,

The test is one-tailed test.

Since , the population standard deviation is known.

Therefore , use the normal distribution.

Step 2 of 6 : The test statistic is ,

Step 3 of 6 : The critical value is ,

; From Z-table

Step 4 of 6 : Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , fail to reject the null hypothesis.

Step 5 of 6 : Conclusion : Hence , there is not sufficient evidence to support the claim that the technique lengthens the training time.

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