# 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?

##### 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.

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?

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