Question

Using traditional methods it takes 8.6 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 21 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.4. Is there evidence at the 0.1 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 2: Find the P-value for the hypothesis test. Round your answer to four decimal places.

Answer 1

Here we want to test

Ho : = 8.6

H1 : 8.6

The test statistic

t =( xbar - )/(s/√n)

t = ( 8.4 - 8.6)/(1.4/√21)

t = -0.65

p-value for t = -0.65 and d.f = n -1 = 20 , two tailed test

p-value = 2* P( t < -0.65) d.f = 20

p-value = 0.5231

Here p-value = 0.5231 > 0.10

Decision : we fail to reject the null hypothesis Ho