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The mean noise level of 19 randomly selected areas designated as emergency rooms was 63.1 dBA and the sample standard deviation is 5.0 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA and the sample standard deviation was 7.0 dBA. An engineer reported a confidence interval of (1.8454, 11.409) for the difference in the mean noise level between areas designated as emergency rooms and areas designated for operating theaters, but neglected to specify the significance level. Estimate the significance level of the confidence interval if the population standard deviations, 01 and oz of the two populations are unknown and unequal. At the estimated significance level, could it be concluded that there is a difference in the means?

The mean noise level of 19 randomly selected areas designated as emergency rooms was 63.1 dBA and the sample standard deviation is 5.0 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA and the sample standard deviation was 7.0 dBA. An engineer reported a confidence interval of (1.8454, 11.409) for the difference in the mean noise level between areas designated as emergency rooms and areas designated for operating theaters, but neglected to specify the significance level. Estimate the significance level of the confidence interval if the population standard deviations, 01 and oz of the two populations are unknown and unequal. At the estimated significance level, could it be concluded that there is a difference in the means?

MATLAB: An Introduction with Applications
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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The mean noise level of 19 randomly selected areas designated as emergency rooms was 63.1 dBA and the sample standard deviation is 5.0 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA and the sample standard deviation was 7.0 dBA. An engineer reported a confidence interval of (1.8454, 11.409) for the difference in the mean noise level between areas designated as emergency rooms and areas designated for operating theaters, but neglected to specify the significance level. Estimate the significance level of the confidence interval if the population standard deviations, 01 and oz of the two populations are unknown and unequal. At the estimated significance level, could it be concluded that there is a difference in the means?
Transcribed Image Text:The mean noise level of 19 randomly selected areas designated as emergency rooms was 63.1 dBA and the sample standard deviation is 5.0 dBA. The mean noise level for 24 randomly selected areas designated as operating theaters was 56.3 dBA and the sample standard deviation was 7.0 dBA. An engineer reported a confidence interval of (1.8454, 11.409) for the difference in the mean noise level between areas designated as emergency rooms and areas designated for operating theaters, but neglected to specify the significance level. Estimate the significance level of the confidence interval if the population standard deviations, 01 and oz of the two populations are unknown and unequal. At the estimated significance level, could it be concluded that there is a difference in the means?
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