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In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is...

In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $4,000. When the sample size is n = 20, there is a 0.4238 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table.

  1. What is the probability that the sample mean is within $500 of the population mean if a sample of size 40 is used (to 4 decimals)?

  2. What is the probability that the sample mean is within $500 of the population mean if a sample of size 80 is used (to 4 decimals)?

A population proportion is 0.4. A sample of size 300 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.

a. What is the probability that the sample proportion will be within ±0.02 of the population proportion?

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

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orchestra answered 1 year ago
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