SOLUTION: The weights of lemons in a large crate have a distribution with μ = 136 grams and σ = 4.1 grams. Consider the random process of picking three lemons independently and put
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Question 293362: The weights of lemons in a large crate have a distribution with μ = 136 grams and σ = 4.1 grams. Consider the random process of picking three lemons independently and putting them in a bag. The standard deviation of the total weight of the three lemons in the bag is? What would be the best way to work this out?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The weights of lemons in a large crate have a distribution with μ = 136 grams and σ = 4.1 grams. Consider the random process of picking three lemons independently and putting them in a bag. The standard deviation of the total weight of the three lemons in the bag is? What would be the best way to work this out?
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The central limit theorem says.
1. the mean of the sample means = the mean of the population.
2. the std of the sample means = (the std of the pop)/sqrt(sample size)
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Your Problem:
The std for all possible samples of size 3 is 4.1/sqrt(3)
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Cheers,
Stan H.
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