A researcher is attempting to estimate the salary of individuals living in a certain county. After collecting their sample, they attain a 95% confidence interval for the true average salary of an individual of ($46,550, $61,450) a) What is the point estimate from the sample that the researcher collected? b) What is the margin of error of the confidence interval that they constructed? c) If, instead of a 95% confidence interval, they wanted to const

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A researcher is attempting to estimate the salary of individuals living in a certain county. After
collecting their sample, they attain a 95% confidence interval for the true average salary of an
individual of ($46,550, $61,450)
a) What is the point estimate from the sample that the researcher collected?
b) What is the margin of error of the confidence interval that they constructed?
c) If, instead of a 95% confidence interval, they wanted to construct a 90% confidence interval,
would the 90% confidence interval be wider or shorter than the 95% confidence interval?
d) Is it possible that the true average salary in this county is $70,000? 

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