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Having done poorly on a particular exam in a junior high school, 27 students decide to write the exam again to try and improve their mark. Results are given in the following table. Student n Average Standard deviation Attempt 1 (A1) 27 58 3.2 Attempt 2 (A2) 27 61 4.3 Difference (d = A₁ - A2) 27 -3.0 2.6 a) Find a 95% 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. No, since the interval is completely below 0. ○ No, since the interval contains O. Yes, since the interval is completely below 0. Check

Having done poorly on a particular exam in a junior high school, 27 students decide to write the exam again to try and improve their mark. Results are given in the following table. Student n Average Standard deviation Attempt 1 (A1) 27 58 3.2 Attempt 2 (A2) 27 61 4.3 Difference (d = A₁ - A2) 27 -3.0 2.6 a) Find a 95% 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. No, since the interval is completely below 0. ○ No, since the interval contains O. Yes, since the interval is completely below 0. Check

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Having done poorly on a particular exam in a junior high school, 27 students decide to write the exam again to try and improve their mark. Results are given in the following table. Student n Average Standard deviation Attempt 1 (A1) 27 58 3.2 Attempt 2 (A2) 27 61 4.3 Difference (d = A₁ - A2) 27 -3.0 2.6 a) Find a 95% 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. No, since the interval is completely below 0. ○ No, since the interval contains O. Yes, since the interval is completely below 0. Check
Transcribed Image Text:Having done poorly on a particular exam in a junior high school, 27 students decide to write the exam again to try and improve their mark. Results are given in the following table. Student n Average Standard deviation Attempt 1 (A1) 27 58 3.2 Attempt 2 (A2) 27 61 4.3 Difference (d = A₁ - A2) 27 -3.0 2.6 a) Find a 95% 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. No, since the interval is completely below 0. ○ No, since the interval contains O. Yes, since the interval is completely below 0. Check
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