All residents of Homer Glen, IL (N = 21,000). You want to estimate the mean age of each population using two rate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the in of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your oning. se the correct answer below. - The margin of error for Population A will be larger because its confidence level will be lower. The margin of error for Population A will be larger because its standard deviation will be larger. The margin of error for Population A will be smaller because its sample standard deviation will be smaller. The margin of error for Population A will be the same because its confidence level, sample size, and standard deviation will be the same. The margin of error for Population A will be smaller because its confidence level will be higher.

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Chapter1: Starting With Matlab
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Suppose you have two populations: Population A-All students at Illinois State University (N = 21,000) and Population
B-All residents of Homer Glen, IL (N=21,000). You want to estimate the mean age of each population using two
separate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the
margin of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your
reasoning.
Choose the correct answer below.
OA. The margin of error for Population A will be larger because its confidence level will be lower.
B. The margin of error for Population A will be larger because its standard deviation will be larger.
C. The margin of error for Population A will be smaller because its sample standard deviation will be smaller.
OD. The margin of error for Population A will be same because its confidence level, sample size, and standard
deviation will be the same.
E. The margin of error for Population A will be smaller because its confidence level will be higher.
Transcribed Image Text:Suppose you have two populations: Population A-All students at Illinois State University (N = 21,000) and Population B-All residents of Homer Glen, IL (N=21,000). You want to estimate the mean age of each population using two separate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the margin of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your reasoning. Choose the correct answer below. OA. The margin of error for Population A will be larger because its confidence level will be lower. B. The margin of error for Population A will be larger because its standard deviation will be larger. C. The margin of error for Population A will be smaller because its sample standard deviation will be smaller. OD. The margin of error for Population A will be same because its confidence level, sample size, and standard deviation will be the same. E. The margin of error for Population A will be smaller because its confidence level will be higher.
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