The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.
The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.

Transcribed Image Text:0.87
0.88
0.82
0.90
0.90
0.84
0.84
0.91
0.94
0.86
0,86
0.86
0,88
0.87
0.89
0.91
0.86
0.87
0.93
0.88
0.83
0.95
0.87
0.93
0.91
0.85
0.91
0.91
0.86
0.89
0.87
0.84
0.88
0.88
0.89
0.79
0.82
0.83
0.90
0.88
0.84
0.93
0.81
0.90
0.88
0.92
0.85
0.84
0.84
0.86
Source: Michael Sullivan.
Expert Solution
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Step 1
To answer the above question first we need to know about the empirical rule.
The Empirical rule, also known as 3 sigma rule or 68-95-99.7 rule predicts that for a normal distribution 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ). Where µ is the mean and σ is the standard deviation of the distribution.
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