wwer this question. The makers of a soft drink want to identify the average age of its consumers. A sample of 58 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 year (Round your answers to three decimal places.) (a) Construct a 95% confidence interval for the true average age (in years) of the consumers years to years (b) Construct an 80% confidence interval for the true average age (in years) of the consumers. years to years (c) Discuss why the 95% and 80% confidence intervals are different O As the confidence level decreases and all else stays the same, the confidence interval becomes wider. O As the sample size decreases and all else stays the same, the confidence interval becomes narrower O As the confidence level decreases and all else stays the same, the confidence interval becomes narrower. Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. As the sample size decreases and all else stays the same, the confidence interval becomes wider

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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You may need to use the appropriate appendix table or technology to answer this question.
The makers of a soft drink want to identify the average age of its consumers. A sample of 58 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years.
(Round your answers to three decimal places.)
(a) Construct a 95% confidence interval for the true average age (in years) of the consumers
years to
years
(b) Construct an 80% confidence interval for the true average age (in years) of the consumers.
years to
years
(c) Discuss why the 95% and 80% confidence intervals are different
O As the confidence level decreases and all else stays the same, the confidence interval becomes wider.
O As the sample size decreases and all else stays the same, the confidence interval becomes narrower
As the confidence level decreases and all else stays the same, the confidence interval becomes narrower.
O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.
As the sample size decreases and all else stays the same, the confidence interval becomes wider.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The makers of a soft drink want to identify the average age of its consumers. A sample of 58 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (Round your answers to three decimal places.) (a) Construct a 95% confidence interval for the true average age (in years) of the consumers years to years (b) Construct an 80% confidence interval for the true average age (in years) of the consumers. years to years (c) Discuss why the 95% and 80% confidence intervals are different O As the confidence level decreases and all else stays the same, the confidence interval becomes wider. O As the sample size decreases and all else stays the same, the confidence interval becomes narrower As the confidence level decreases and all else stays the same, the confidence interval becomes narrower. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. As the sample size decreases and all else stays the same, the confidence interval becomes wider.
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