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

First Option

Approximately 13–17 pounds

Step-by-step explanation:

We know that the mean weight of dogs is:

The standard deviation is:

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

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:

Then

Therefore

d≈7.07in

step-by-step explanation:

rounding to the nearest thousandth would be 452,000