In the EAI sampling problem, the population mean is $ 71,300 and the population 0.3472  standard deviation is 5,000 For n=20  there is a probability of obtaining a sample mean + or - 500 within of the population mean. Use z-table.   a. What is the probability that x is within 500 of the population mean if a sample of size 40  is used (to 4 decimals)?   b. Answer part (a) for a sample of size 80  (to 4 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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  • In the EAI sampling problem, the population mean is $ 71,300 and the population 0.3472  standard deviation is 5,000 For n=20  there is a probability of obtaining a sample mean + or - 500 within of the population mean. Use z-table.
     
    a. What is the probability that x is within 500 of the population mean if a sample of size 40  is used (to 4 decimals)?
     
    b. Answer part (a) for a sample of size 80  (to 4 decimals)
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