Question

The weights of adult polar bears, the largest bear species in North America, have a mean of 950 pounds and standard

Answer 1

The weight of 824 pounds of a polar bear has a z-score of -1.50.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation$

Given that μ = 950, σ = 84

For z = -1.50:

$-1.50=\frac{x-950}{84}\\\\x-950=-126\\\\x=824$

The weight of 824 pounds of a polar bear has a z-score of -1.50.

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