# 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.

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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.

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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, σ2 = 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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