Two teaching methods and their effects on science test scores are being reviewed. A random sample of 12

12 students, taught in traditional lab sessions, had a mean test score of 72.1

72.1 with a standard deviation of 3.9

3.9. A random sample of 7

7 students, taught using interactive simulation software, had a mean test score of 76.5

76.5 with a standard deviation of 4

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

1

1 be the mean test score for the students taught in traditional lab sessions and

2

2 be the mean test score for students taught using interactive simulation software. Use a significance level of =0.01

=0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step1of4: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 place

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

Step 4 of 4: State the test's conclusion