Answer:
B
Step-by-step explanation:
Here, we want to use the empirical rule to find the percentage.
The first thing we will do here is to find the z-score
Mathematically;
z-score = (x -mean)/SD
from the question, x = 95, mean = 110
and SD = 15
So z-score will be ;
(95-110)/15 = -15/15 = -1
So the probability we want to calculate is;
P(z < -1)
In terms of the empirical rule, we want to find the proportion of the scores which is less than 1 standard deviation of the mean.
According to the empirical rule, the proportion which is less than 1 standard deviation below the mean is 15.866% and the closest answer to this is 16% which is option B
By definition, the empirical rule is basically used in finding the proportion of values in this case scores which are at a certain standard deviation value below or above the mean. Below the mean are represented as negatives while above the mean are represented as positives.
