help help help this is important

Question

Wait times at an orthodontist’s office are typically 17 minutes, with a standard deviation of 2 minutes. What percentage should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution?

Answer 1

An important rule in statistics is the 68-95-99.7 rule, also known as the Empirical Rule. The rule states that in a normal distribution, 68% of values are within 1 standard deviation from the mean, 95% are within 2 standard deviations, and 99.7% are within 3 standard deviations. If mean = 17, then 11 is (11-17)/2 = -3 (3 standard deviations below the mean), and 23 is (23-17)/2 = 3 (3 standard deviations above the mean), so 99.7% of the patients should be seen within this range of times.