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In the EAI sampling problem, the population mean is 51900 and the population standard deviation is...

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 within 500 of the population mean if a sample of size 120 is used (to 4 decimals)?

A population proportion is 0.2 . A sample of size 200 will be taken and the sample proportion  will be used to estimate the population proportion. Use z-table.

Round your answers to four decimal places. Do not round intermediate calculations.

a. What is the probability that the sample proportion will be within +/- 0.04 of the population proportion?

b. What is the probability that the sample proportion will be within +/- 0.08 of the population proportion?

The difference between the value of the sample statistic and the value of the corresponding population parameter is called the _____.

a. proportion error
b. statistical error
c. sampling error
d. standard error

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Answer #1

My dear student I am allowed to solve one question at a time so I am solving first in the pic .

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