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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 54 and a standard deviation of 5. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 49 and 59? Do not enter the percent symbol. ans = % Submit Question

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 54 and a standard deviation of 5. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 49 and 59? Do not enter the percent symbol. ans = % Submit Question

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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**Question 1** In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 54 and a standard deviation of 5. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 49 and 59? *Do not enter the percent symbol.* **ans =** [Text box for answer] % **[Submit Question button]** *Explanation for Educational Context:* The empirical rule, or the 68-95-99.7 rule, states that for a normal distribution: - Approximately 68% of the data falls within one standard deviation (σ) of the mean (μ). - Approximately 95% of the data falls within two standard deviations of the mean. - Approximately 99.7% of the data falls within three standard deviations of the mean. In this case: - Mean (μ) = 54 - Standard deviation (σ) = 5 The range of 49 to 59 is within one standard deviation of the mean (from 54 - 5 to 54 + 5). Therefore, according to the empirical rule, approximately 68% of the phone calls are expected to be within this range.
Transcribed Image Text:**Question 1** In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 54 and a standard deviation of 5. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 49 and 59? *Do not enter the percent symbol.* **ans =** [Text box for answer] % **[Submit Question button]** *Explanation for Educational Context:* The empirical rule, or the 68-95-99.7 rule, states that for a normal distribution: - Approximately 68% of the data falls within one standard deviation (σ) of the mean (μ). - Approximately 95% of the data falls within two standard deviations of the mean. - Approximately 99.7% of the data falls within three standard deviations of the mean. In this case: - Mean (μ) = 54 - Standard deviation (σ) = 5 The range of 49 to 59 is within one standard deviation of the mean (from 54 - 5 to 54 + 5). Therefore, according to the empirical rule, approximately 68% of the phone calls are expected to be within this range.
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