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StatisticsQ&A LibraryUsing 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 3 of 5:Specify if the test is one-tailed or two-tailed.Question

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 3 of 5:

Specify if the test is one-tailed or two-tailed.

Step 1

Null hypothesis:

*µ=*8.2*.*

Alternative hypothesis:

*µ<*8.2*.*

This is a left tailed test.

Since the population standard deviation is unknown, the appropriate test is one sample *t*-test.

Here, the sample mean, *x*-bar is 8.

Population mean, *µ* is 8.2.

Sample variance, *σ ^{2} *= 2.89.

Sample standard deviation, *σ *= 1.7.

Sample size, *n* is 26.

The test statistic value can be obtained as follows:

Step 2

*Computation of P-value:*

The *P*-value for the left tailed *t*-value at 25 degrees of freedom is –1.667 is **0.054** which can be can be obta...

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