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IV. Performance Task. Perform the complete steps in hypothesis testing in the problems below. Show your solutions if needed. (25 points) 1. A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inch. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At a = 0.01, is there reason to believe that the new food is responsible for a change in the growth of leaves? Step 1: Formulate the null and alternative hypotheses. Paige 2 of 4 Step 2: Specify the level of significance to be used. Step 3: Select and compute the appropriate test statistic. Step 4: Determine the critical region/s. Step 5. Make a statistical Decision. Step 6: Draw the appropriate conclusion