Answered

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A biologist is studying the weights of female polar bears in the Arctic and finds that the mean weight is 179 kg with a standard deviation of 63 kg. Assume weights are normally distributed. What is the weight of a polar bear at the 30th percentile?

Sagot :

Answer:

294.1 pounds

Step-by-step explanation:

We find the z score for 90th percentile

= 1.282

Step 2

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score ??

μ is the population mean = 230 pounds

σ is the population standard deviation= 50 pounds

1.282 = x - 230/50

Cross Multiply

1.282 × 50 = x - 230

64.1 = x - 230

x = 230 + 64.1

x = 294.1 pounds

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