Question

it takes 10.4 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 with 9 students and observed that they had a mean of 10.7 hours with a variance of 1.44. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

Answer 1

Test statistic (t) = 0.625

Explanation:

Step(i):-

mean of the Population(μ) = 10.4 hours

Sample mean (x⁻) = 10.7 hours

Standard deviation of the sample( S) = 1.44

The level of significance (α= 0.1

Sample size 'n' = 9

Degrees of freedom = n-1 = 9-1 =8

Step(ii):-

Test statistic

`t = (x^(-) -mean)/((S)/(√(n) ) )`

`t = (10.7 -10.4)/((1.44)/(√(9) ) ) =0.625`