Two teaching methods and their effects on science test scores
are being reviewed. A random sample of 1313 students, taught in
traditional lab sessions, had a mean test score of 72.372.3 with a
standard deviation of 3.63.6. A random sample of 1616 students,
taught using interactive simulation software, had a mean test score
of 8686 with a standard deviation of 5.45.4. 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 μ1μ1 be the mean
test score for the students taught in traditional lab sessions and
μ2μ2 be the mean test score for students taught using interactive
simulation software. Use a significance level of α=0.05α=0.05 for
the test. Assume that the population variances are equal and that
the two populations are normally distributed.
1. State the null and alternative hypotheses for the
test.
2. Compute the value of the t test statistic. round to three
decimal places
3. Determine the decision rule for rejecting the null hypothesis
H0: round your answer to three decimal places.
4. State the Test's Conclusion.