Question

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 9 students, taught in traditional lab sessions, had a mean test score of 83.4 with a standard deviation of 5.1. A random sample of 7 students, taught using interactive simulation software, had a mean test score of 87.6 with a standard deviation of 6.4. 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 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 not equal and that the two populations are normally distributed.

Step 1 of 4 :  
Choose the correct option for the alternative hypothesis for the test. Ha:μ1 ________ μ2

Step 2: Find the values of the two sample proportions, p̂ 1p^1 and p̂ 2p^2. Round your answers to three decimal places.

Step 3: Compute the weighted estimate of p, p‾ . Round your answer to three decimal places.

Step 4 of 6: Compute the value of the test statistic. Round your answer to three decimal places.

Step 5 of 6: Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 6: Choose the correct conclusion

Since the p > 0.01, we reject the null.
Since p < 0.01, we fail to reject the null.
Since p < 0.01, we reject the null.
Since p > 0.01, we fail to reject the null.

Answer 1