McGraw-Hill's "Connect" is a web-based assignment and assessment platform that helps students learn more efficiently, retain more and achieve better outcomes. After using this platform for a statistics course, the school would like to know if students who use the platform score better on exams. A sample of students who used the platform had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 99, 65, and 92. Students who did not use the platform had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72. Assume the population standard deviations are the same. Results from the t-test for the two samples are shown below:

 (a) Find the mean difference of the exam scores of the two sampled groups of students.
(b) Identify the 95% confidence interval of the average exam scores of the two groups of students, respectively. Assess whether the “Connect” platform can help students learn more efficiently.
(c) Execute a hypothesis test at the 5% significance level to assess whether the “Connect” platform can help students learn more efficiently. State the steps clearly.

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t-Test: Two-Sample Assuming Equal Variances Used "Connect" 81.80 108.40 10.00 70.93 Mean Variance Observations Pooled Variance Hypothesised Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.00 22.00 0.72 0.24 1.72 0.48 2.07 Did not use "Connect" 79.29 44.99 14.00 t-Test: Two-Sample Assuming Equal Variances Used "Connect" 81.80 108.40 10.00 70.93 Mean Variance Observations Pooled Variance Hypothesised Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.00 22.00 0.72 0.24 1.72 0.48 2.07 Did not use "Connect" 79.29 44.99 14.00

Answer rating: 100% (QA)

Answer a The mean difference of the exam scores of the two samples can ... View the full answer