Problem 1 Suppose you collect a SRS of size n from a population and from the dat

Question

Problem 1

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 smaller 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 larger confidence level.
E. None of the above

Problem 2

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 is between 6 and 14.
B. that if we took many, many additional samples and from each computed a 95% confidence interval for , approximately 95% of these intervals would contain .
C. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4.
D. 95% of the population is between 6 and 14.
E. All of the above.

Explanation / Answer

1) D. Use a larger confidence level.

2)

B. that if we took many, many additional samples and from each computed a 95% confidence interval for , approximately 95% of these intervals would contain .

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