Two teaching methods and their effects on science test scores are being reviewed. A random sample of 18 students, taught in traditional lab sessions, had a mean test score of 73.5 with a standard deviation of 3.2. A random sample of 13 students, taught using interactive simulation software, had a mean test score of 85.9with a standard deviation of 6. 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 hypothesis.
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 H 0. Round your answer to three decimal places.
Step 4of 4: State the test conclusion. (Reject or fail to reject)
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