College | MAT 098/181C | Form B EXTRA CREDIT: (3 pts) A Nissan Motor Corporation advertisement read, "Average man's .Q. is 107. The average I.Q. of a fish is 4. So why can't man catch a fish?" Suppose you believe that the fish mean I.Q. is greater than 4. You catch 12 brown trout. A fish psychologist determines the I.Q.s of the fish you caught s follows: 5 4 7 3 6 4 5 5 36 3 8 5 Assume normal distribution. Mean of the sample is 4.92 and the population standard eviation is 1.62. Conduct a hypothesis test of your belief at a 5% significance level. 1) State the Null, Alternate Hypothesis, type of test & level of significance 2) Check the conditions. 3) Compute the sample test statistic, draw a picture and find the P-value. 4) State the conclusion about the Null Hypothesis. 5) Interpret the conclusion.