In the EAI sampling problem, the population mean is $71,100 and the population standard deviation is $4,000. When the sample size isn= 30, there is a .5034 probability of obtaining a sample mean within +/- $500 of the population mean.

1.What is the probability that x is within 500 of the population mean if a sample of size 60 is used (to 4 decimals)?

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

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