A) Suppose you collect a SRS of size n from a population and from the data colle

Question

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. 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.
B. Use a smaller confidence level.
C. Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger.
D. Use a larger confidence level.
E. 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 if we took many, many additional samples and from each computed a 95% confidence interval for ? , approximately 95% of these intervals would contain ?.

B. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4.

C. that there is a 95% probability that ? is between 6 and 14.

D. 95% of the population is between 6 and 14.

E. All of the above.

Explanation / Answer

Use a larger confidence level. option D is correct.This will produce the new confidence interval with larger width

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