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7. Find the z-score that cuts off a left tail whose area is 2.5%.

7. Find the z-score that cuts off a left tail whose area is 2.5%.

MATLAB: An Introduction with Applications
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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**Problem 7:** Find the z-score that cuts off a left tail whose area is 2.5%. **Graph Explanation:** - The graph shows a standard normal distribution curve. - The curve's peak is at 0, indicating the mean of the distribution. - The left tail of the curve is shaded in red, representing an area of 2.5%. - The red shaded area extends leftward from the left side of the curve to approximately -1.96 on the horizontal z-scale, where the shading starts from -3 and thins out. **Problem 8:** Find the z-score that cuts off a right tail whose area is 10.75%. **Graph Explanation:** - This graph also illustrates a standard normal distribution. - The highest point of the curve remains at 0. - The right tail of the curve is shaded in red, representing an area of 10.75%. - The shading begins around 1.25 on the z-scale and extends to +3, indicating the portion of the distribution that occupies the upper 10.75% of the range.
Transcribed Image Text:**Problem 7:** Find the z-score that cuts off a left tail whose area is 2.5%. **Graph Explanation:** - The graph shows a standard normal distribution curve. - The curve's peak is at 0, indicating the mean of the distribution. - The left tail of the curve is shaded in red, representing an area of 2.5%. - The red shaded area extends leftward from the left side of the curve to approximately -1.96 on the horizontal z-scale, where the shading starts from -3 and thins out. **Problem 8:** Find the z-score that cuts off a right tail whose area is 10.75%. **Graph Explanation:** - This graph also illustrates a standard normal distribution. - The highest point of the curve remains at 0. - The right tail of the curve is shaded in red, representing an area of 10.75%. - The shading begins around 1.25 on the z-scale and extends to +3, indicating the portion of the distribution that occupies the upper 10.75% of the range.
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