Mike Shula Is a Head Football Coach

Multiple Choice

Mike Shula is a head football coach.His athletic department spends $30,000 a season on Lizard-Ade,a flavored drink that supposedly contributes to the performance of his players.This year,an independent sports testing association has decided to test the merits of Lizard-Ade and Shula's university has been selected as a member of the national sample.The study is an experiment in which the players,unknown to them,are divided into two groups.Group 1 receives the real Lizard-Ade prior to and during the games.Group 2 receives a placebo,which is nothing more than sugar-flavored colored water in containers made to make the sugar-flavored water appear to be Lizard-Ade.It is common practice that,following each game,the coaches evaluate films and give each player a grade ranging from 0 to 100.After the season the sports testing association collects the data.They now have a mean score of performance for each of the two groups for all of the athletic departments participating in the study.If you are the researcher,what statistical test would you conduct?

A) a z test of the difference between two percentages
B) independent samples t test
C) paired samples t test
D) ANOVA
E) None of the above because the sample size will be too large and will give erroneous results.