At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 m
inutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 95% of customers have to wait.
The middle 95% of customers have to wait for 18 to 34 minutes at the resturant.
<h3>What is the empirical rule?</h3>
The empirical rule states that for a normal distribution. 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean
Given a mean of 26 minutes and a standard deviation of 4 minutes. Hence:
95% are within 2 standard deviations = 26 ± 2(4) = (18, 34)
The middle 95% of customers have to wait for 18 to 34 minutes at the resturant.
