MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.

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.
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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
Check Mark
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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