Here are some summary statistics for the life spans of two breeds of cats. Breed Mean life span Standard deviation
Abyssinian μ=12 years σ=1.5 years
Colorpoint shorthair μ=14 years σ=1 year

Fluffy was an Abyssinian cat who lived for 13 years, and Mittens was a colorpoint shorthair cat who lived for 15 years.

Relative to its breed, which cat had a longer lifespan?

a. It is impossible to say without seeing all of the individual lifespans.
b. Fluffy
c. Fluffy and Mittens had equally long lifesparlsrelative to their breeds.
d. Mittens

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.

step-by-step explanation: