Question

For the total population of a large southern city, mean family income is $34,000, with a standard deviation (for the population) of $5,000. Imagine that you are taking subsample of 200 city residents. What is the Z score for $34,000

Answer 1

Mean=$34,000
SD=$5000
sample size=N=200
According to normal distribution
z=(x-Mean)/SD
When X=$33000
z=(34,000-33,000)/5000
z=-0.2
Area under the standard normal curve corresponding to z=-2 is 0.0793

Answer 2

The Area under the standard normal curve corresponding to z=-2 is 0.0793

What is the Population?

A population, in statistics and other areas of mathematics, is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.

How to determine?

Mean=$34,000

SD=$5000

sample size=N=200

According to normal distribution

z=(x-Mean)/SD

When X=$33000

z=(34,000-33,000)/5000

z=-0.2

Area under the standard normal curve corresponding to z=-2 is 0.0793

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