Question

The scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. Find the score that is one and one-half standard deviation

Answer 1

The score that is one and one-half standard deviation is 39.

Step-by-step explanation:

In this question, we are given that the scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. To find the score that is one and one-half standard deviation, we can use the formula:

Score = mean + (z-score)(standard deviation)

First, we calculate the z-score for 1.5 standard deviation:

z-score = 1.5

Next, we substitute the values into the formula:

Score = 30 + (1.5)(6)

Score = 30 + 9

Score = 39

Therefore, the score that is one and one-half standard deviation is 39.