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# Understanding Delaware's Income Distribution: A Statistical Look

**Chapter 6, Problem 20**

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**QUESTION:**

Assume that the sample is taken from a large population and the correction factor can be ignored.

**Per Capita Income of Delaware Residents** In a recent year, Delaware had the highest per capita annual income with $51,803. If \(\sigma\) = $4850. What is the probability that a random sample of 34 state residents had a mean income greater than $50,000? Less than $48,000?

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##### Understanding Delaware's Income Distribution: A Statistical Look

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Analyze Delaware's per capita annual income using statistical methods. Understand the probabilities associated with various income levels for a sample of state residents. Learn to use the Z score formula for such evaluations.

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### Questions & Answers

**QUESTION:**

Assume that the sample is taken from a large population and the correction factor can be ignored.

**Per Capita Income of Delaware Residents** In a recent year, Delaware had the highest per capita annual income with $51,803. If \(\sigma\) = $4850. What is the probability that a random sample of 34 state residents had a mean income greater than $50,000? Less than $48,000?

**ANSWER:**

Step 1 of 3

Given,

Per Capita Income of Delaware Residents In a recent year is, \(\mu=51803\)

Standard deviation is, \(\sigma=4850\)

And n = 34