Question

Here are some summary statistics for the life spans of two breeds of cats.

Answer 1

Answer:

D: Mittens

Step-by-step explanation:

We are given;

Population mean;

- Abyssinian: μ = 12

- Colorpoint shorthair: μ = 14

Population standard deviation;

- Abyssinian: σ = 1.5

- Colorpoint shorthair: σ = 1

Sample mean;

-Fluffy the Abyssinian: x¯ = 13

-Mittens the colorpoint shorthair; x¯ = 15

To find which cat had a longer lifespan, we need to find the z-score for both breeds and the one with the higher z-score is the one with longer lifespan.

Z-score formula is;

z = (x¯ - μ)/σ

For Fluffy the Abyssinian;

z = (13 - 12)/1.5

z = 0.667

For Mittens the colorpoint shorthair;

z = (15 - 14)/1

z = 1

Z-score of Mittens is higher and thus it has a longer lifespan.