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

Mathematics

1 answer:

stich3 [128]3 years ago

4 0

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.

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AlladinOne [14]

This question is incomplete.

The complete question says;

The two-way table shows the number of hours students studied and whether they studied independently or with a study group.

What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?

a) 0.4 c) 0.25

b) 0.33 d) 0.11

Table is attached as image

Answer: C (0.25)

The number of students that studied for more than 2 hours as given in the table are 4.

The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.

Those that studied less than 2 hours independently are 12.

Those that studied more than 2 hours independently are 4.

Hence the total number of people that studied independently is 16.

Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.