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?

Adult Male Akitas

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

a)Adult male Akitas

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.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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