Question

The weight of a hamster is normally distributed with a mean of 0.25 pounds and a standard deviation of 0.02 pounds. What percent of hamsters are between 0.23 and 0.27 pounds?

A) 95%
B) 68%
C) 32%
D) 98%

Answer 1

Approximately 68% of hamsters have weights between 0.23 and 0.27 pounds, as these weights fall within one standard deviation from the mean in a normal distribution. Therefore correct option is B

Step-by-step explanation:

To determine what percent of hamsters are between 0.23 and 0.27 pounds, given that the weight of a hamster is normally distributed with a mean of 0.25 pounds and a standard deviation of 0.02 pounds, we can use the empirical rule or the properties of the normal distribution. According to the empirical rule, approximately 68% of the data falls within one standard deviation from the mean.

In this case, 0.23 pounds and 0.27 pounds are both one standard deviation away from the mean (0.25 ± 0.02 pounds). Therefore, we can conclude that approximately 68% of hamsters have weights between 0.23 and 0.27 pounds.