You take all possible samples of size 100 from a very large population of values. The mean of the population is 550. The standard deviation is 50. You compute the mean of each sample. 95% of the sample means will be greater than ___

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You take all possible samples of size 100 from a very large population of values. The mean of the population is 550. The standard deviation is 50. You compute the mean of each sample. 95% of the sample means will be greater than ___

 
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Step 1

given data 

n = 100

μ = 550σ = 50very large population 

P(x¯>z) = 0.95x¯ = ?

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