Question

Using traditional methods it takes 8.7 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 12 students and observed that they had a mean of 8.5 hours with a standard deviation of 1.1. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal.

Step 1 of 5: State the null and alternative hypotheses.

Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5: Specify if the test is one-tailed or two-tailed.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

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

Answer 1

step 1:

null hypothesis: HO: μ		=	8.7
Alternate Hypothesis: Ha: μ		≠	8.7

step 2:

population mean μ=	8.7
sample mean 'x̄=	8.500
sample size   n=	12.00
sample std deviation s=	1.100
std error 'sx=s/√n=	0.318
test stat t ='(x-μ)*√n/sx=	-0.630

Step 3 of 5:

two tailed

step 4:

Decision rule :reject Ho if absolute value of test statistic|t|>2.201

step 5:

fail to reject Ho (since test statsitic is not in rejection region_)