The scores on a test are normally distributed with a mean of 140 and a standard deviation of 28 . What is the score that is 3 standard deviations above the mean?
\(\boxed{224}\) is the score that is 3 standard deviations above the mean.
Step 1 :The scores on a test are normally distributed with a mean of 140 and a standard deviation of 28.
Step 2 :We need to find the score that is 3 standard deviations above the mean.
Step 3 :In a normal distribution, each standard deviation represents a certain percentage of the data points.
Step 4 :So, 3 standard deviations above the mean would be mean + 3*standard deviation.
Step 5 :Substitute the given values into the formula: \(140 + 3*28\).
Step 6 :Simplify the expression to get the final answer.
Step 7 :\(\boxed{224}\) is the score that is 3 standard deviations above the mean.