Having done poorly on a particular exam in a junior high school, 20 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 20 20 20 0. Average 54 59 -5.0 Standard deviation 3.0 4.8 2.6 (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 No, since the interval contains 0. O No, since the interval is completely below 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Q16

Having done poorly on a particular exam in a
junior high school, 20 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)
0.
n
0.
20
20
20
Average
(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.)
Check
54
59
-5.0
(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
Standard
deviation
3.0
4.8
2.6
No, since the interval contains 0.
No, since the interval is completely below
Transcribed Image Text:Having done poorly on a particular exam in a junior high school, 20 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) 0. n 0. 20 20 20 Average (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.) Check 54 59 -5.0 (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 Standard deviation 3.0 4.8 2.6 No, since the interval contains 0. No, since the interval is completely below
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