Question

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 14 students, taught in traditional lab sessions, had a mean test score of 77.9 with a standard deviation of 3.3. A random sample of 12 students, taught using interactive simulation software, had a mean test score of 85.9 with a standard deviation of 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.

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 H0H0. Round your answer to three decimal places.

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

Answer 1

The statistical software output for this problem is:

Hence,

Step - 1: Hypotheses:

Ho:

Ha:

Step - 2: t test statistic = -4.881

Step - 3: Decision rule: Reject Ho if t < -1.318

Step - 4: Reject Null Hypothesis