biologist knows that, under normal conditions, the average length of a leaf of a certain full-grown plant is 4 inches, with the standard deviation of 0.6 inches. A sample of 45 leaves from the plants that were given a new type of plant food had an average length of 4.2 inches. Is there reason to believe that the new plant food is responsible for a change in the average growth of leaves? Use a = 0.02. Also, compute 95% confidence interval for the average length of a leaf.

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