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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? OA. Use a smaller confidence level. OB. 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. OC. Use a larger confidence level. OD. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. OE. None of the above. (b) A 95% confidence interval for the mean 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. OB. 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 O c. 95% of the population is between 6 and 14. OD. that there is a 95% probability that is between 6 and 14 O E. All of the above.

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? OA. Use a smaller confidence level. OB. 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. OC. Use a larger confidence level. OD. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. OE. None of the above. (b) A 95% confidence interval for the mean 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. OB. 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 O c. 95% of the population is between 6 and 14. OD. that there is a 95% probability that is between 6 and 14 O E. All of the above.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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? O A. Use a smaller confidence level. OB. 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. O C. Use a larger confidence level. O D. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. OE. None of the above. (b) A 95% confidence interval for the mean of a population is computed from a random sample and found to be 104. We may conclude O A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. O B. 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. O C. 95% of the population is between 6 and 14. O D. that there is a 95% probability that is between 6 and 14. O 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? O A. Use a smaller confidence level. OB. 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. O C. Use a larger confidence level. O D. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. OE. None of the above. (b) A 95% confidence interval for the mean of a population is computed from a random sample and found to be 104. We may conclude O A. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. O B. 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. O C. 95% of the population is between 6 and 14. O D. that there is a 95% probability that is between 6 and 14. O E. All of the above.
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