Question: You know that the average length of the leaf of a certain full-grown plant is 4 cm. The standard deviation of the population is 0.6 cm. A sample of 40 leaves of that type of plant is given a special type of plant food. The sample had an average length of 4.2 cm. Is there reason to believe that there is a significant difference between the plants given the special food and the population not given the food? Let \(\alpha =0.01\)

1. State the null hypothesis to be tested.
2. State the alternative hypothesis.
3. Conduct a statistical test of the null hypothesis and state your conclusion.

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