Question

the scores on a test are normally distributed with a mean of 140 and a standard deviation of 28. a score of is one and one - half standard deviations below the mean.

Explanation:

Step1: Calculate one and one - half standard deviations

One and one - half standard deviations is \(1.5\times28\).

$$1.5\times28=(1 + 0.5)\times28=28+14 = 42$$

Step2: Find the score

Since it is one and one - half standard deviations below the mean, we subtract the value from the mean. The mean is \(140\).

$$140-42 = 98$$

Answer:

\(98\)