Question

In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $5,000. When the sample size is n = 30, there is a 0.4161 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table. What is the probability that the sample mean is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? What is the probability that the sample mean is within $500 of the population mean if a sample of size 120 is used (to 4 decimals)?

Answer #1

In the EAI sampling problem, the population mean is $51,700 and
the population standard deviation is $4000 . When the sample size
is n=30 , there is a .5034 probability of obtaining a sample mean
within + or - 500 of the population mean. Use z-table.
a. What is the probability that the sample mean
is within $500 of the population mean if a sample of size 60 is
used (to 4 decimals)?
b. What is the probability that the...

In the EAI sampling problem, the population mean is 51900 and
the population standard deviation is 4000. When the sample size is
n=30 , there is a 0.5034 probability of obtaining a sample mean
within +/- 500 of the population mean. Use z-table.
a. What is the probability that the sample mean
is within 500 of the population mean if a sample of size 60 is used
(to 4 decimals)?
b. What is the probability that the sample mean
is...

In the EAI sampling problem, the population mean is $51,000 and
the population standard deviation is $4,000 . When the sample size
is n=20, there is a .4972 probability of obtaining a sample mean +-
600 within of the population mean. Use z-table.
a. What is the probability that the sample mean is within $600
of the population mean if a sample of size 40 is used (to 4
decimals)?
b. What is the probability that the sample mean is...

A population has a mean of 400 and a standard deviation of 60.
Suppose a sample of size 100 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
4 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
16 of the population mean (to 4 decimals)? (Round z...

A population has a mean of 200 and a standard deviation of 60.
Suppose a sample of size 100 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
6 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
17 of the population mean (to 4 decimals)? (Round z...

A population has a mean of 400 and a standard deviation of 90.
Suppose a sample of 100 size is selected and x bar is used to
estimate mu. Use z-table.
a. What is the probability that the sample mean will be within
+- 4 of the population mean (to 4 decimals)?
b. What is the probability that the sample mean will be within
+- 16 of the population mean (to 4 decimals)?

A population has a mean of 200 and a standard deviation of 50.
Suppose a sample of size 100 is selected and is used to estimate .
Use z-table. What is the probability that the sample mean will be
within +/- 4 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.) What is the
probability that the sample mean will be within +/- 11 of the
population mean (to 4 decimals)? (Round...

A population has a mean of 200 and a standard deviation of 80.
Suppose a sample of size 100 is selected and is used to estimate .
Use z-table. What is the probability that the sample mean will be
within +/- 4 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.) What is the
probability that the sample mean will be within +/- 13 of the
population mean (to 4 decimals)? (Round...

A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 125 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
3 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
10 of the population mean (to 4 decimals)? (Round z...

A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 100 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
8 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
18 of the population mean (to 4 decimals)? (Round z...

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