5. A researcher is interested in constructing a confidence interval for the number of hours per week a typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours. a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours? b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour? c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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hi can you answer 5 a, b , and c i know you can’t answer d but if you could i would appreciate it thank you
4. The Department of the Treasury is interested in finding out what proportion of people support
abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in
order to obtain the result with a 2% margin of error and 95% confidence?
5. A researcher is interested in constructing a confidence interval for the number of hours per week a
typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours.
a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours?
b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour?
c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour?
d) Notice that to get smaller error and/or higher confidence, you need a larger sample. This result is an
example of which important Law?
Transcribed Image Text:4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence? 5. A researcher is interested in constructing a confidence interval for the number of hours per week a typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours. a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours? b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour? c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour? d) Notice that to get smaller error and/or higher confidence, you need a larger sample. This result is an example of which important Law?
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