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. sample of 52 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.
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. sample of 52 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1
Let denote respectively the population mean and standard deviation of age of the consumers.
Given that .
In this problem, is unknown. The population distribution is also unknown. The sample size is 52 which is sufficiently large (i.e. ). So, a confidence interval for is , where and .
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