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 5 of 5:Make the decision to reject or fail to reject the null hypothesis.

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Asked Dec 8, 2019
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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 5 of 5:

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

 
 
 
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Expert Answer

Step 1

It is given that sample mean and standard deviation are 20 and 1.5, respectively.

The test hypotheses are:

Null hypothesis:

H0: μ = 8.2.

Alternative hypothesis:

H1: μ ≠ 8.2.

Step 2

As the population standard deviation is unknown, the sample standard deviation must be used while performing the test. Thus, the suitable test to use here...

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х — и п 8.0 – 8.2 2.89 V 26 =-0.600

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