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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parts A and B

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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 I
0z= 730.30
P(51,300 <xs 52,300)
P(X< 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 +$500 of the population mean if a sample of size 70 is used?
(b) Answer part (a) for a sample of size 140.
Transcribed Image Text:You may need to use the appropriate appendix table or technology answer this question. 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 I 0z= 730.30 P(51,300 <xs 52,300) P(X< 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 +$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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