[See Solution] Plant Leaf Lengths A biologist knows that the average length of a leaf of a certain full-grown plant is 4 inches. The standard deviation


Question: Plant Leaf Lengths A biologist knows that the average length of a leaf of a certain full-grown 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 or $4.2$ inches. Is there reason to believe that the new food is responsible for a change in the growth of the leaves? Use \(\alpha=0.01\), Find the \(99 \%\) confidence interval of the mean. Do the results concur? Explain. Assume that the variable is approximately normally distributed.

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