Answer:
The correct answer is A. 1.86 years
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of the dogs at an animal shelter = 3.9 years
Standard deviation = 1.2 years
2. What is the age of a dog at the shelter with a z-score of −1.7 ?
Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.
Therefore, a z-score of - 1.7 for the ages of dogs is:
-1.7 * 1.2 = -2.04
Now, we calculate the value using the mean, this way:
3.9 + -2.04 = 3.9 - 2.04 = 1.86
The correct answer is A. 1.86 years
