Question

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

Answer 1

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