Question: 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

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 below are instate students. Their names are marked with asterisks in the list. The coach chooses 5 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*

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?

b. Do you think the college should suspect discrimination if none of the 5 scholarships go to in-state players?

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