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In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that E is within $500 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 $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that E is within $500 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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that is within $500 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).
Transcribed Image Text:In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that is within $500 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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