Question - 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 instate 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
Grafinkel*
Lawrence
Montemarano
Ramirez
Richvalsky*
Sbonek*
Susalla*
Swearingen
Sweet
Swift*
Vargas
Wagner
Wald*
(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 instate students in each of your sample. Make a histogram to display your results. What is the average number of instate players in your 20 samples?
(b) Do you think the college should suspect discrimination if none of the five scholarships go to instate players?