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Prediction of percentage of plants with various leaf areas

#1 A botanist grows a large number of individually potted eggplants, all treated identically. After 30 days, the total leaf area of each plant was measured. The population distribution of the total leaf area was found to be normal with a mean of 800 cm2 and a standard deviation of 90 cm2.

1.1 What percentage of the plants will have a leaf area between 775 cm2 and 825 cm2 ?

1.2 Suppose each group of 4 plants is considered to be a random sample from the population. What percentage of the groups will have a group mean leaf area between 775 cm2 and 825 cm 2 ?

Solution Summary

This solution considers a botanist who is growing a large number of individually potted eggplants.

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