A miniature American Eskimo dog has a mean weight of 15 pounds with a standard deviation of 2 pounds. Assuming the weights of miniature Eskimo dogs are normally distributed, what range of weights would 68% of the dogs have?

A.) Approximately 13-17 pounds

B.) Approximately 14-16 pounds

C.) Approximately 11-19 pounds

D.) Approximately 9-21 pounds

the answer is A.

Approximately 13-17 pounds ⇒ answer A

Step-by-step 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