A member of the Seattle City Council wants to build a confidence interval estimate of the mean monthly earnings of city council members in large cities like Seattle. The desired accuracy in estimating the mean monthly earnings is $90 and a 98% confidence level is desired. The council member found a report by the Department of Labor saying that the standard deviation of monthly earnings of council members in large cities was $800. How big a sample size would be required to build this desired confidence interval estimate?

Advanced Engineering Mathematics
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ISBN:9780470458365
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A member of the Seattle City Council wants to build a confidence interval
estimate of the mean monthly earnings of city council members in large cities like
Seattle. The desired accuracy in estimating the mean monthly earnings is $90 and
a 98% confidence level is desired. The council member found a report by the
Department of Labor saying that the standard deviation of monthly earnings of
council members in large cities was $800. How big a sample size would be
required to build this desired confidence interval estimate?
Transcribed Image Text:A member of the Seattle City Council wants to build a confidence interval estimate of the mean monthly earnings of city council members in large cities like Seattle. The desired accuracy in estimating the mean monthly earnings is $90 and a 98% confidence level is desired. The council member found a report by the Department of Labor saying that the standard deviation of monthly earnings of council members in large cities was $800. How big a sample size would be required to build this desired confidence interval estimate?
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