(a) A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 104. 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. 95% of the population is between 6 and 14. C. that if we took many, many additional samples and from each computed a 95% confidence interval for μ, 150/

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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(a) 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 there is a 95% probability that the true mean is
10 and a 95% chance the true margin of error is 4.
B. 95% of the population is between 6 and 14.
C. 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.
D. that there is a 95% probability that is between 6
and 14.
E. All of the above.
(b) 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.
Transcribed Image Text:(a) 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 there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4. B. 95% of the population is between 6 and 14. C. 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. D. that there is a 95% probability that is between 6 and 14. E. All of the above. (b) 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.
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