Question 1138474: 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 the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger.
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 larger confidence level.
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 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.
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 μ is between 6 and 14.
D. 95% of the population is between 6 and 14.
E. All of the above.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! A larger confidence interval width occurs with more confidence. We can be completely confident with infinity,. C
For this,
A is correct
B is not correct. Confidence here is not probability.
C is not correct as well.
D is not correct
Many, many samples and about 95% would contain mu, but we wouldn't know which of the 95%.
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