Answer:
Approximately 13–17 pounds ⇒ answer A
Explanation:
* Lets explain how to solve the problem
- The Empirical Rule states that almost all data lies within 3
standard deviations of the mean for a normal distribution.
- 68% of the data falls within one standard deviation.
- 95% of the data lies within two standard deviations.
- 99.7% of the data lies Within three standard deviations
- The empirical rule shows that
# 68% falls within the first standard deviation (µ ± σ)
# 95% within the first two standard deviations (µ ± 2σ)
# 99.7% within the first three standard deviations (µ ± 3σ).
* Lets solve the problem
- A miniature American Eskimo dog has a mean weight of 15 pounds
with a standard deviation of 2 pounds
∴ µ = 15 and σ = 2
- The weights of miniature Eskimo dogs are normally distributed
- We need to know the range of weights would 68% of the
dogs have
∵ 68% falls within the first standard deviation (µ ± σ)
∵ 15 - 2 = 13
∵ 15 + 2 = 17
∴ The range is approximately 13–17 pounds