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. 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. C. Use a smaller confidence level. D. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger. E. None of the above. (b) A 95% confidence interval for the mean μμ of a population is computed from a random sample and found to be 10±410±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. that there is a 95% probability that μμ is between 6 and 14. C. 95% of the population is between 6 and 14. D. that if we took many, many additional samples and from each computed a 95% confidence interval for μμ, approximately 95% of these intervals would contain μμ. 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?
A. Use a larger confidence level.
B. 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.
C. Use a smaller confidence level.
D. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger.
E. None of the above.
(b) A 95% confidence interval for the mean μμ of a population is computed from a random sample and found to be 10±410±4. We may conclude
A. that there is a 95%
B. that there is a 95% probability that μμ is between 6 and 14.
C. 95% of the population is between 6 and 14.
D. that if we took many, many additional samples and from each computed a 95% confidence interval for μμ, approximately 95% of these intervals would contain μμ.
E. All of the above.
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