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 O7= 730,30 P(51,300<ī< 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 +$500 of the population mean if a sample of size 50 is used? (b) Answer part (a) for a sample of size 100.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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You may need to use the appropriate appendix table or technology to 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
O7= 730.30
P(51,300 <I< 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 +$500 of the population mean if a sample of size 50 is used?
(b) Answer part (a) for a sample of size 100.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to 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 O7= 730.30 P(51,300 <I< 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 +$500 of the population mean if a sample of size 50 is used? (b) Answer part (a) for a sample of size 100.
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