(Solution) - Suppose a botanist grows many individually potted eggplants all treated -(2025 Original AI-Free Solution)

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Suppose a botanist grows many individually potted eggplants, all treated identically and arranged in groups of four pots on the greenhouse bench. After 30 days of growth, she measures the total leaf area Y of each plant. Assume that the population distribution of Y is approximately normal with mean = 800 cm2 and SD = 90 cm2.16
(a) What percentage of the plants in the population will have leaf area between 750 cm2 and 850 cm2?
(b) Suppose each group of four plants can be regarded as a random sample from the population. What percentage of the groups will have a group mean leaf area between 750 cm2 and 850 cm2?