the scores on a test are normally distributed with a mean of 140 and a standard deviation of 28. what is the…
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 below the mean? a score of is 3 standard deviations below the mean.
Answer
Explanation:
Step1: Identify the formula
The formula to find a value (x) that is (k) standard - deviations below the mean (\mu) is (x=\mu - k\sigma), where (\mu) is the mean, (\sigma) is the standard deviation, and (k) is the number of standard deviations.
Step2: Substitute the given values
We are given that (\mu = 140), (\sigma=28), and (k = 3). Substitute these values into the formula: (x=140-3\times28).
Step3: Perform the calculation
First, calculate (3\times28 = 84). Then, (x=140 - 84=56).
Answer:
56