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).
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).
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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)?
[Text Box for Answer]
b. Answer part (a) for a sample of size 120 (to 4 decimals).
[Text Box for Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d8ced1e-c405-49cc-9707-ee99115bb45e%2F061216e1-6d2a-4ea8-b1c9-cc52e2f451fa%2Fzwt7y4_processed.png&w=3840&q=75)
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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