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(a) Suppose you collect a SRS of size n from a population and from the data collected you computed a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? A. Use a larger confidence level. B. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. C. Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05.

(a) Suppose you collect a SRS of size n from a population and from the data collected you computed a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? A. Use a larger confidence level. B. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. C. Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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For each problem, select the best response. (a) Suppose you collect a SRS of size n from a population and from the data collected you computed a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? A. Use a larger confidence level. B. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. C. Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05. D. Use a smaller confidence level. E. None of the above. (b) A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 10 ± 4. We may conclude A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. B. 95% of the population is between 6 and 14. C. that if we took many, many additional samples and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. D. that there is a 95% probability that μ is between 6 and 14. E. All of the above.
Transcribed Image Text:For each problem, select the best response. (a) Suppose you collect a SRS of size n from a population and from the data collected you computed a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? A. Use a larger confidence level. B. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. C. Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05. D. Use a smaller confidence level. E. None of the above. (b) A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 10 ± 4. We may conclude A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. B. 95% of the population is between 6 and 14. C. that if we took many, many additional samples and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. D. that there is a 95% probability that μ is between 6 and 14. E. All of the above.
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