Question

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 13 students, taught in traditional lab sessions, had a mean test score of 74 with a standard deviation of 5.5. A random sample of 15 students, taught using interactive simulation software, had a mean test score of 87.9 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 μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Answer 1

μ1 :- Mean test score for the students taught in traditional lab sessions

μ2 :- Mean test score for students taught using interactive simulation software.

To Test :-

H₀ :-

H₁ :-

Test Statistic :-

Where is pooled variance

Test Criteria :-

Reject null hypothesis if   

   = -6.0541 < - 1.315

Hence we reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

There is sufficient evidence to conclude 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.