8. In honour ofn day (March 14), a statistician sets out to estimate 7, and construct an approximate 95% CI for r. A circle of radius 1 centred at the origin is inscribed with a square, whose vertices are (1, 1), (-1, 1), (-1, -1), and (1, -1). Then, 15,000 random points with independent x-coordinates chosen uniformly on the interval (-1, 1), and with independent y-coordinates chosen uniformly on the interval (-1, 1) are generated. Then, the number of points that lie inside the circle are counted. In this case, 11,780 out of the 15,000 landed in the circle. Determine an approximate 95% confidence interval for r. Note: It may be helpful to draw a diagram to visualize and think about this problem. A) [3.1152, 3.1676] B) [3.1242, 3.1585] C) [3.1067, 3.1759] D) [3.0846, 3.1981]
8. In honour ofn day (March 14), a statistician sets out to estimate 7, and construct an approximate 95% CI for r. A circle of radius 1 centred at the origin is inscribed with a square, whose vertices are (1, 1), (-1, 1), (-1, -1), and (1, -1). Then, 15,000 random points with independent x-coordinates chosen uniformly on the interval (-1, 1), and with independent y-coordinates chosen uniformly on the interval (-1, 1) are generated. Then, the number of points that lie inside the circle are counted. In this case, 11,780 out of the 15,000 landed in the circle. Determine an approximate 95% confidence interval for r. Note: It may be helpful to draw a diagram to visualize and think about this problem. A) [3.1152, 3.1676] B) [3.1242, 3.1585] C) [3.1067, 3.1759] D) [3.0846, 3.1981]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![8. In honour of t day (March 14), a statistician sets out to estimate n, and construct an
approximate 95% CI for r. A circle of radius 1 centred at the origin is inscribed with a
square, whose vertices are (1, 1), (-1, 1), (-1, -1), and (1, -1). Then, 15,000 random points
with independent x-coordinates chosen uniformly on the interval (-1, 1), and with
independent y-coordinates chosen uniformly on the interval (-1, 1) are generated. Then,
the number of points that lie inside the circle are counted. In this case, 11,780 out of the
15,000 landed in the circle. Determine an approximate 95% confidence interval for t.
Note: It may be helpful to draw a diagram to visualize and think about this problem.
A)
[3.1152, 3.1676]
B)
[3.1242, 3.1585]
C)
[3.1067, 3.1759]
D)
[3.0846, 3.1981]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cee6c6c-3234-4487-9b22-804d8c7477b8%2F15c93954-5e88-4504-b38d-adb15bffc075%2Fqfaqitb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. In honour of t day (March 14), a statistician sets out to estimate n, and construct an
approximate 95% CI for r. A circle of radius 1 centred at the origin is inscribed with a
square, whose vertices are (1, 1), (-1, 1), (-1, -1), and (1, -1). Then, 15,000 random points
with independent x-coordinates chosen uniformly on the interval (-1, 1), and with
independent y-coordinates chosen uniformly on the interval (-1, 1) are generated. Then,
the number of points that lie inside the circle are counted. In this case, 11,780 out of the
15,000 landed in the circle. Determine an approximate 95% confidence interval for t.
Note: It may be helpful to draw a diagram to visualize and think about this problem.
A)
[3.1152, 3.1676]
B)
[3.1242, 3.1585]
C)
[3.1067, 3.1759]
D)
[3.0846, 3.1981]
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