Question

For each of the following hypothetical populations, give

a plausible sample of size 4:

a. All distances that might result when you throw a football

b. Page lengths of books published 5 years from now

c. All possible earthquake-strength measurements (Richter scale) that might be recorded in California during the next year

d. All possible yields (in grams) from a certain chemical reaction carried out in a laboratory.

Short answer

a.\(\left\{ {50,45,40,35} \right\}\)

b.\(\left\{ {700,490,800,500} \right\}\)

c.\(\left\{ {5.2,{\rm{ }}6.5,{\rm{ }}5,{\rm{ }}7} \right\}\)

d. \(\left\{ {60{\rm{gm}},{\rm{ }}57{\rm{gm}},{\rm{ }}40{\rm{gm}},{\rm{ }}80{\rm{gm}}} \right\}\)

Step-by-step solution

Given information

Four populations are provided.

Provide one possible sample of size 4.

a.

Assuming that the distance is measured in feet.

The possible sample of size 4 for all distances that might result when a football is thrown is given as,

\(\left\{ {50,45,40,35} \right\}\)

b.

The possible sample of size 4 forpage lengths of books published 5 years from nowis given as,

\(\left\{ {700,490,800,500} \right\}\)

Provide one possible sample of size 4.

c.

The possible sample of size 4 forall possible earthquake-strength measurements (Richter scale) that might be recorded in California during the next yearis given as,

\(\left\{ {5.2,{\rm{ }}6.5,{\rm{ }}5,{\rm{ }}7} \right\}\)

d.

The possible sample of size 4 forall possible yields (in grams) from a certain chemical reaction carried out in a laboratoryis given as,

\(\left\{ {60{\rm{gm}},{\rm{ }}57{\rm{gm}},{\rm{ }}40{\rm{gm}},{\rm{ }}80{\rm{gm}}} \right\}\)