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? (1 point)Approximately 13–17 poundsApproximately 14–16 poundsApproximately 11–19 poundsApproximately 9–21 pounds
Question
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? (1 point)Approximately 13–17 poundsApproximately 14–16 poundsApproximately 11–19 poundsApproximately 9–21 pounds
Solution
The range of weights that 68% of the dogs would have is approximately 13–17 pounds. This is because, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is 15 pounds and the standard deviation is 2 pounds. Therefore, one standard deviation below the mean is 15 - 2 = 13 pounds and one standard deviation above the mean is 15 + 2 = 17 pounds. So, 68% of the dogs would weigh between 13 and 17 pounds.
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