Question: Having done poorly on a particular exam in a junior high school, 31 students decide to write the exam again to try and improve

Having done poorly on a particular exam in a junior high school, 31 students decide to write the exam again to try and improve their mark. Results are given in the following table. Student Attempt 1 (A1) n Average Standard deviation 31 50 3.6 Attempt 2 (A2) 31 53 4.7 Difference (d = A A2) - 31 -3.0 3.0 (a) Find a 98% confidence interval for the difference in mean scores between attempt 1 and attempt 2. (Round your answers to 4 decimal places, if needed.) (b) Based on this confidence interval, can we conclude there is a difference in mean scores between attempt 1 and attempt 2? Yes, since the interval contains 0. Yes, since the interval is completely below 0. No, since the interval is completely below 0. No, since the interval contains 0. Check

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