The weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds. About 95% of the weights for individual raccoons in this population fall between what two values?

Question

Mathematics

Emilio Galloway

7 March, 17:04

The weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds. About 95% of the weights for individual raccoons in this population fall between what two values?

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Answers (1)

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Camille Key · Answer 1

Step-by-step explanation:

Given that the weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds

Since bell shaped is given we can assume that this follows a normal distribution symmetrical about the mean.

To find 95% two values we can use Z critical value for 95%

i. e. ±1.96

95% will lie between 12±1.96 (2.5)

= 12±4.9

= (7.1, 16.9)