In the EAI sampling problem, the population mean is $71,500 and the population standard deviation is $5000. For n = 30, there is a 0.4908 probability of obtaining a sample mean within ±$600 of the population mean. Use z-table. a. What is the probability that T is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? b. Answer part (a) for a sample of size 120 (to 4 decimals).

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In the EAI sampling problem, the population mean is $71,500 and the population standard deviation is $5,000. For \( n = 30 \), there is a 0.4908 probability of obtaining a sample mean within ±$600 of the population mean. Use z-table.

a. What is the probability that \(\bar{x}\) is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)?

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b. Answer part (a) for a sample of size 120 (to 4 decimals).

[Text Box for Answer]
Transcribed Image Text:In the EAI sampling problem, the population mean is $71,500 and the population standard deviation is $5,000. For \( n = 30 \), there is a 0.4908 probability of obtaining a sample mean within ±$600 of the population mean. Use z-table. a. What is the probability that \(\bar{x}\) is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? [Text Box for Answer] b. Answer part (a) for a sample of size 120 (to 4 decimals). [Text Box for Answer]
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