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A standard 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.

Respuesta :

Range is the difference between the highest and the lowest values. The range for the given problem is between 24 to 36 pounds.

Given-

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds.

Range of weights would 99. 7% of the dogs has to be found.

Range

Range is the difference between the highest and the lowest values. The formula to find the range can be given as,

[tex]R=\mu \pm 3\sigma[/tex]

[tex]R=30\pm 3\times2[/tex]

[tex]R=30\pm 6[/tex]

Taking positive sign,

[tex]R=30+6=36[/tex]

Taking negative sign,

[tex]R=30-6=24[/tex]

Thus the range for the given problem is between 24 to 36 pounds.

Learn more about the range here;

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