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? Approximately 7-9 pounds Approximately 6-10 pounds Approximately 5-11 pounds Approximately 4-12 pounds

Question

Mathematics

Sherman

18 July, 08:17

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? Approximately 7-9 pounds Approximately 6-10 pounds Approximately 5-11 pounds Approximately 4-12 pounds

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Answers (1)

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Ean Fisher · Answer 1

The correct answer is Approximately 6-10 pounds

Step-by-step explanation:

According to the given statement a toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound

According to normal distribution 95% dogs lie between 2 std deviation on either side of the mean.

Therefore lower bound = 8-2 = 6

Upper bound = 8+2 = 10

Thus the range would be approximately 6-10 pounds ...