Using traditional methods it takes 98 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 100 hours. Assume the population variance is known to be 36. Is there evidence at the 0.01 level that the technique lengthens the training time?  State the null and alternative hypotheses. Find the value of the test statistic. Round to two decimal places. Specify is the test is one-tailed or two-tailed. Find the P-value of the test statistic.  Identify the level of significance for the hypothesis test. Make the decision to reject or fail to reject the null hypothesis.

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Using traditional methods it takes 98 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 100 hours. Assume the population variance is known to be 36. Is there evidence at the 0.01 level that the technique lengthens the training time? 

  1. State the null and alternative hypotheses.
  2. Find the value of the test statistic. Round to two decimal places.
  3. Specify is the test is one-tailed or two-tailed.
  4. Find the P-value of the test statistic. 
  5. Identify the level of significance for the hypothesis test.
  6. Make the decision to reject or fail to reject the null hypothesis. 

 

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