The average income in a state was​$64 comma 64,000per person per year. Suppose the standard deviation is​$29 comma 29,000and the distribution is​ right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts​ (a) and​ (b) below.a. What value should we expect for the sample​ mean? Why? b. What is the standard error for the sample​ mean?

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Asked Nov 21, 2019
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The average income in a state was
​$64 comma 64,000
per person per year. Suppose the standard deviation is
​$29 comma 29,000
and the distribution is​ right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts​ (a) and​ (b) below.
a. What value should we expect for the sample​ mean? Why?
 
b. What is the standard error for the sample​ mean?
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Expert Answer

Step 1

It is given that the average income of residents in a state is 64,000 and standard deviation is 29,000. The size of the sample of residents is 100.

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That is, u 64,000,0 29,000 and n= 100

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Step 2

a.

The value of the sample mean is same as the population mean.

According to central limit theorem, as samp...

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That is, 64,000 That is, Nu,

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