4. 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 average length of 4.2 inches. Is there reason to believe that the new food is responsible for a change in the growth of the leaves? Use a = 0.01. Find the 99% confidence interval of the mean. Do the results concur? Explain. Assume that the variable is approximately normally distributed.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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14. 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 average length of 4.2 inches. Is
there reason to believe that the new food is responsible for a
change in the growth of the leaves? Use a = 0.01. Find the 99%
confidence interval of the mean. Do the results concur? Explain.
Assume that the variable is approximately normally distributed.
Transcribed Image Text:14. 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 average length of 4.2 inches. Is there reason to believe that the new food is responsible for a change in the growth of the leaves? Use a = 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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