Question

ASAP 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?

Approximately 13–17 pounds
Approximately 14–16 pounds
Approximately 11–19 pounds
Approximately 9–21 pounds

Answer 1

Approximately 13-17 pounds.

Explanation:

68% of the normal distribution curve is an area of about 1 standard deviation each side of the mean so the answer is 15 - 2 to 15 + 2.

Answer 2

Answer: First Option

Approximately 13–17 pounds

Explanation:

We know that the mean weight of dogs is:

`\mu = 15\ pounds`

The standard deviation is:

`\sigma = 2\ pounds`

We are looking for a Z score for which it is met that:

`P (-Z_0 <Z <Z_0) = 0.68`

According to the empirical rule, for a standard normal distribution it is satisfied that 68% of the data is in a range of one standard deviation above the mean and one standard deviation below the mean. This means that:

`P (-1 <Z <1) = 0.68`

Then
`Z_0 = 1`

Therefore

`\mu- \sigma<X< \mu + \sigma\\\\(15-2)<X<(15+2)\\\\13<X<17`