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For this problem, use the answer guide found on the next page. 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 four. 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.