A Nissan Motor Corporation advertisement read, "The average man's I.Q. is 107. The average brown trout's I.Q. is 4. So why can't man catch brown trout?" Suppose you believe that the brown trout's mean I.Q. is greater than 4. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows:
5; 4; 7; 3; 6; 4; 5; 3; 6; 3; 8; 5.
Conduct a hypothesis test of your belief.