Question 3.14

3.14 Another sampling experiment. Let us illustrate sampling variability in a small sample from a small population. Seven of the 20 college softball players listed here are in-state students. Their names are marked with asterisks in the list. The coach chooses five players at random to receive a new scholarship funded by alumni.

  • Betsa

  • Blanco

  • Christner

  • Connell

  • Driesenga*

  • Falk

  • Garfinkel*

  • Lawrence

  • Montemarano

  • Ramirez

  • Richvalsky*

  • Romero

  • Sbonek*

  • Susalla*

  • Swearingen

  • Sweet

  • Swift*

  • Vargas

  • Wagner

  • Wald*

57

  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 in-state students in each of your samples. Make a histogram like that in Figure 3.1 to display your results. What is the average number of in-state players in your 20 samples?

  2. (b) Do you think the college should suspect discrimination if none of the five scholarships go to in-state players?