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# FOR A POPULATION WITH A STANDARD DEVIATION OF Σ = 20, HOW

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Author: Christine Farr
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http://theperfecthomework.com/for-a-population-with-a-standard-deviation-of-20-how-large-a-sample-is-necessary-to-have-a-standard-error-that-is-1/

For a population with a standard deviation of σ = 20, how large a sample is necessary tohave a standard error that is:a.less than or equal to 10 point?b.less than or equal to 4 points?c.less than or equal to 2 point?2.The following samples were obtained from a population with a mean of μ = 40 and astandard deviation of σ = 8. Find the z-score corresponding to each sample mean.a.A sample of n = 4 scores with M = 38b.A sample of n = 16 scores with M = 38c.A sample of n = 64 scores with M = 383.Jumbo shrimp are those that require 10 to 15 shrimp to make a pound. Suppose that thenumber of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation ofσ =1, and forms a normal distribution. What is the probability of randomly picking asample on n=25 1-pound bags that average more than M=13 shrimp per bag?

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