Question 3.13

3.13 A sampling experiment. Let us illustrate sampling variability in a small sample from a small population. Ten of the 25 club members listed here are female. Their names are marked with asterisks in the list. The club chooses five members at random to receive free trips to the national convention.

  • Alonso

  • Binet*

  • Blumenbach

  • Chase*

  • Chen*

  • Darwin

  • Epstein

  • Ferri

  • Gonzales*

  • Gupta

  • Herrnstein

  • Jimenez*

  • Luo

  • Moll*

  • Morales*

  • Myrdal

  • Perez*

  • Spencer*

  • Thomson

  • Toulmin

  • Vogt*

  • Went

  • Wilson

  • Yerkes

  • Zimmer

  1. (a) Use the Simple Random Sample applet, other software, or a different part of Table A to draw 20 SRSs of size 5. Record the number of females in each of your samples. Make a histogram like that in Figure 3.1 to display your results. What is the average number of females in your 20 samples?

  2. (b) Do you think the club members should suspect discrimination if none of the five tickets go to women?