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 55 and a standard deviation of 9. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 37 and 73 ? Do not enter the percent symbol. ans =

To determine the approximate percentage of daily phone calls between 37 and 73, we can apply the empirical rule (also known as the 68-95-99.7 rule) to this normally distributed data. The mean is 55, and the standard deviation is 9. First, we find how many standard deviations 37 and 73 are from the mean: - For 37: \( 37 - 55 = -18 \) (which is \( -2 \) standard deviations: \( -18 / 9 \)) - For 73: \( 73 - 55 = 18 \) (which is \( +2 \) standard deviations: \( 18 / 9 \)) According to the empirical rule, approximately 95% of the data falls within 2 standard deviations from the mean. Thus, the number of daily phone calls answered between 37 and 73 is approximately 95%. So the answer is: ans = 95