Question

Hospital Noise Levels For a random sample of 24 operating rooms taken in the hospital study mentioned in Exercise 19 in Section $7-1,$ the mean noise level was 41.6 decibels, and the standard deviation was $7.5 .$ Find the $95 \%$ confidence interval of the true mean of the noise levels in the operating rooms.

          Hospital Noise Levels For a random sample of 24
operating rooms taken in the hospital study mentioned
in Exercise 19 in Section $7-1,$ the mean noise level
was 41.6 decibels, and the standard deviation was $7.5 .$
Find the $95 \%$ confidence interval of the true mean of
the noise levels in the operating rooms.

Added by Samuel P.

Instant Answer

Solved by Expert Ramesh Rajak

10/26/2021

Step 1

Given that the margin of error is calculated as $ME = \frac{t_{\alpha/2} \cdot s}{\sqrt{n}}$, where $t_{\alpha/2}$ is the critical value from the t-distribution for a 95% confidence level with 23 degrees of freedom, $s$ is the standard deviation (7.5), and $n$ is Show more…

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Hospital Noise Levels For a random sample of 24 operating rooms taken in the hospital study mentioned in Exercise 19 in Section $7-1,$ the mean noise level was 41.6 decibels, and the standard deviation was $7.5 .$ Find the $95 \%$ confidence interval of the true mean of the noise levels in the operating rooms.