Having done poorly on a particular exam in a junior high school, 24 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 ( A 1 ) 24 51 3 4 Attempt 2 ( A 2 ) 24 55 4 7 Difference ( d A 1 A 2 ) 24 4 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

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Question: Having done poorly on a particular exam in a junior high school, 24 students decide to write the exam again to try and improve their

Having done poorly on a particular exam in a junior high school, 24 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)	24	51	3.4
Attempt 2 (A₂)	24	55	4.7
Difference (d = A₁ - A₂)	24	-4.0	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?

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