Question

Using traditional methods it takes 8.2 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 26 students and observed that they had a mean of 8.0 hours with a variance of 2.89 . Is there evidence at the 0.1 level that the technique reduces the training time? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses.

Answer 1

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

H0: Null Hypothesis: 8.2 ( the new license training method using Computer Aided Instruction (CAI) technique does not reduce the training time)

HA: Alternative Hypothesis: 8.2 ( the new license training method using Computer Aided Instruction (CAI) technique reduces the training time)

SE = s/

= /

= 0.3334

Test Statistic is given by:

t = (8.0 - 8.2)/0.3334

= - 0.5999

= 0.10

ndf = n - 1 = 26 - 1 = 25

From Table, critical value of t = - 1.3163

Since calculated value of t = - 0.5999 is greater than critical value of t = - 1.3163, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that the new license training method using Computer Aided Instruction (CAI) technique reduces the training time.

So,

Answer to question asked:

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

H0: Null Hypothesis: 8.2 ( the new license training method using Computer Aided Instruction (CAI) technique does not reduce the training time)

HA: Alternative Hypothesis: 8.2 ( the new license training method using Computer Aided Instruction (CAI) technique reduces the training time)