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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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