Question

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 19 students, taught in traditional lab sessions, had a mean test score of  77 with a standard deviation of 3.6 . A random sample of 12 students, taught using interactive simulation software, had a mean test score of  86.7 with a standard deviation of 6.5 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let  μ1 be the mean test score for the students taught in traditional lab sessions and μ 2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.

Step 4 of 4: State the test's conclusion.

Answer 1

Step 1 of 4:

null hypothesis:		μ1-μ2		=	0
Alternate Hypothesis:		μ1-μ2		<	0

Step 2 of 4:

value of the t test statistic = -5.362

Step 3 of 4:

Decision rule :                   reject Ho if test statistic t<-1.699

Step 4 of 4:  

as test statistic falls in rejection region, we reject null hypothesis.

we can conclude that  that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software