A particular moth can infest avocado trees and potentially damage the avocado fruit. A farmer plans to investigate the number of damaged avocado fruit on moth-infested avocado trees of a certain variety. A recent article states that the population distribution of the number of damaged avocado fruit on moth-infested avocado trees of this variety is symmetric but not mound-shaped with mean μ =59 and standard deviation σ = 24 . (a) Compare the shapes of the sampling distributions of the sample mean number of damaged avocado fruit for random samples of 6 moth-infested trees and for random samples of 90 moth-infested trees from the population. (b) Which of the following would be less likely to obtain from the population? • A random sample of 36 moth-infested avocado trees having a mean number of damaged avocado fruit that is less than 60 or • A random sample of 81 moth-infested avocado trees having a mean number of damaged avocado fruit that is less than 60
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A particular moth can infest avocado trees and potentially damage the avocado fruit. A farmer plans to investigate the number of damaged avocado fruit on moth-infested avocado trees of a certain variety. A recent article states that the population distribution of the number of damaged avocado fruit on moth-infested avocado trees of this variety is symmetric but not mound-shaped with
.
(a) Compare the shapes of the sampling distributions of the sample mean number of damaged avocado fruit for random samples of 6 moth-infested trees and for random samples of 90 moth-infested trees from the population.
(b) Which of the following would be less likely to obtain from the population?
• A random sample of 36 moth-infested avocado trees having a mean number of damaged avocado fruit that is less than 60
or
• A random sample of 81 moth-infested avocado trees having a mean number of damaged avocado fruit that is less than 60
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