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 Attempt 1 (A₁) Attempt 2 (A₂) Difference (d = A₁ - A₂) n 24 24 24 Average 52 56 -4.0 Standard deviation 3.8 4.4 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? O Yes, since the interval contains 0. O No, since the interval contains 0. O Yes, since the interval is completely below 0. O No, since the interval is completely below 0.

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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
Attempt 1 (A₁)
Attempt 2 (A₂)
Difference (d = A₁ - A₂)
n
24
24
24
Average
52
56
-4.0
Standard deviation
3.8
4.4
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?
O Yes, since the interval contains 0.
No, since the interval contains 0.
O Yes, since the interval is completely below 0.
O No, since the interval is completely below 0.
Transcribed Image Text: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 Attempt 1 (A₁) Attempt 2 (A₂) Difference (d = A₁ - A₂) n 24 24 24 Average 52 56 -4.0 Standard deviation 3.8 4.4 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? O Yes, since the interval contains 0. No, since the interval contains 0. O Yes, since the interval is completely below 0. O No, since the interval is completely below 0.
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