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(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 25 and 49 minutes? (Round the answer to the nearest whole number.) hen we assume nothing about the shape of the distribution, we will use Chebyshev's Rule to get a sense of the stribution of data values. Chebyshev's Rule will tell us the minimum percentage of observations that are within k andard deviations of the mean when k 2 1. 100( 1 e previously determined that 25 is two standard deviations below the mean and 49 is two standard deviations pove the mean. Thus, we will use k = 1 times that are between 25 and 49 minutes. |× in Chebyshev's Rule to determine the minimum percentage % - 100 1 25 99.84 X % 99 84 OL of times are between 25 and 49 minutes

(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 25 and 49 minutes? (Round the answer to the nearest whole number.) hen we assume nothing about the shape of the distribution, we will use Chebyshev's Rule to get a sense of the stribution of data values. Chebyshev's Rule will tell us the minimum percentage of observations that are within k andard deviations of the mean when k 2 1. 100( 1 e previously determined that 25 is two standard deviations below the mean and 49 is two standard deviations pove the mean. Thus, we will use k = 1 times that are between 25 and 49 minutes. |× in Chebyshev's Rule to determine the minimum percentage % - 100 1 25 99.84 X % 99 84 OL of times are between 25 and 49 minutes

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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(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 25 and 49 minutes? (Round the answer to the nearest whole number.) When we assume nothing about the shape of the distribution, we will use Chebyshev's Rule to get a sense of the distribution of data values. Chebyshev's Rule will tell us the minimum percentage of observations that are within k standard deviations of the mean when k 2 1. 100(1 -)* % We previously determined that 25 is two standard deviations below the mean and 49 is two standard deviations above the mean. Thus, we will use k = 1 in Chebyshev's Rule to determine the minimum percentage of times that are between 25 and 49 minutes. 1 100(1 - . 100 1 - 25 % = 2 % 99.84 X % Thus, at least 99.84 % of times are between 25 and 49 minutes.
Transcribed Image Text:(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 25 and 49 minutes? (Round the answer to the nearest whole number.) When we assume nothing about the shape of the distribution, we will use Chebyshev's Rule to get a sense of the distribution of data values. Chebyshev's Rule will tell us the minimum percentage of observations that are within k standard deviations of the mean when k 2 1. 100(1 -)* % We previously determined that 25 is two standard deviations below the mean and 49 is two standard deviations above the mean. Thus, we will use k = 1 in Chebyshev's Rule to determine the minimum percentage of times that are between 25 and 49 minutes. 1 100(1 - . 100 1 - 25 % = 2 % 99.84 X % Thus, at least 99.84 % of times are between 25 and 49 minutes.
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