Question

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 11 students, taught in traditional lab sessions, had a mean test score of 78.1 with a standard deviation of 3 . A random sample of 19 students, taught using interactive simulation software, had a mean test score of 84.1 with a standard deviation of 5.9 . 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=0.05 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 H0. Round your answer to three decimal places.

Step 4 of 4:

State the test's conclusion.

Answer 1

To Test :-

H0 :-

H1 :-  

Test Statistic :-





t = -3.131

Test Criteria :-
Reject null hypothesis if


Result :- Reject Null Hypothesis

Decision based on P value
P - value = P ( t > 3.1305 ) = 0.002
Reject null hypothesis if P value <    level of significance
P - value = 0.002 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis

There is sufficient evidence to 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.