## Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18

Question

Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds. One dog lover owns an underweight Akita and an underweight Boston Terrier. The Akita weighs 97 pounds, and the Boston Terrier weighs 16 pounds. Use z-scores to determine which dog is more underweight?

in progress 0
3 years 2021-08-06T12:24:09+00:00 1 Answers 29 views 0

Step-by-step explanation:

The z-score formula =

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

weigh an average of 115 pounds with a standard deviation of 10.4 pounds.

Akita weighs 97 pounds

z = (x-μ)/σ

= 97 – 115/10.4

-1.7307692308

b) Boston Terrier

Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds.

Boston Terrier weighs 16 pounds.

z = (x-μ)/σ

z = 16 – 18.5/2.7

= -0.9259259259

From the above calculation,

The Adult male Akitas is -1.7307692308 standard deviations. underweight

The Boston terrier is -0.9259259259 standard deviations underweight.

Therefore, the Adult male Akitas is more underweight.