Suppose we are interested in the Annual Salary of Electronics Associated, Inc. (EAI) managers and we find that for a sample of n = 30 managers, there was 0.5034 probability of obtaining a sample mean within $500 of the population mean (see the figure below). Sampling distribution of T or= 730.30 P(51,300 SIs 52,300) P(T<51,300) 51,300 51,800 52,300 For parts (a) and (b), let the population mean be 51,800 and o = 4,000. (Round your answers to four decimal places.) (a) What is the probability that x is within t$500 of the population mean if a sample of size 70 is used? (b) Answer part (a) for a sample of size 140.

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