Question

A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?

a. 7-9 pounds
b. 6-10 pounds
c. 5-11 pounds
d. 4-12 pounds​

Answer 1

Option b) 6-10 lbs

Explanation:

Given that X, the weight of toy American Eskimo dog has mean of 8 pounds with a standard deviation of 1 pound

For 95% of the dogs according to normal distribution would lie between 2 std deviations on either side of the mean.

i.e. lower bound= Mean- 2 std deviation = 8-2 =6

Upper bound = Mean +2 std dev = 8+2 =10

Hence range of weights would be

6-10 lbs

Option b is the answer