Astandard american eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. assuming the weights of standard eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?
approximately 26–34 pounds
approximately 24–36 pounds
approximately 28–32 pounds
approximately 29–31 pounds

Approximately 24–36 pounds

Step-by-step explanation:

Given:

Weight of standard American Eskimo dog has mean= 30 pounds

A standard deviation= 2 pounds

For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

i.e. lower bound= Mean- 3 (standard deviation)

= 30-3(2)

=30-6

=24

Upper bound = Mean +3 (standard deviation)

= 30+3(2)

=30+6

=36

Hence the range of weights : 24-36 pounds

correct answer Approximately 24–36 pounds!

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