Step 1 :First, we need to convert the 6 days into hours since the average healing time and standard deviation are given in hours. There are 24 hours in a day, so 6 days is 144 hours.
Step 2 :Next, we need to calculate the z-score. The z-score is a measure of how many standard deviations an element is from the mean. The formula for the z-score is \((X - μ) / σ\), where X is the value we are looking for, μ is the mean, and σ is the standard deviation.
Step 3 :Substitute the given values into the z-score formula: \((-2.4) = (144 - 192) / 20\).
Step 4 :After we find the z-score, we can look up this value in a standard normal distribution table to find the percentage of people who would heal in 6 days or less. The percentage is approximately 0.82%.
Step 5 :However, the question asks for the answer to be rounded to two decimal places. Therefore, we need to round our answer. The rounded percentage is 0.82%.
Step 6 :Final Answer: The percentage of the people having this incision that would heal in 6 days or less is approximately \(\boxed{0.82\%}\).