Chapter 5.3, Problem 5.69E

(a)

To determine

To find out how many women we expect to find in the sample if an SRS of size $200$ is selected.

Answer to Problem 5.69E

  $\text{40}$ women are expected.

Explanation of Solution

  $\begin{array}{l}\text{You would expect approximately 40 students selected to be a}\\ \text{female since females make up 20\% of the engineering school}\text{.}\\ \text{i}\text{.e}\text{. 20\% of 200}\\ \text{=40}\text{.}\end{array}$

(b)

To determine

To suggest the type of sampling design and why.

Answer to Problem 5.69E

Stratified sample is used.

Explanation of Solution

The survey should choose to do a stratified sample instead, where the strata are males and females. Doing this will allow surveyors to get the separate opinions of males and females.