### Hospital Noise Levels For a sample of 4 operating rooms taken in a hospital study, the mean noise level was 39.2 decibels, and the standard deviation was 10.6. Find the 90% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable is normally distributed. Round your answers to at least two decimal places.---The image shows a fill-in-the-blank 90% confidence interval calculation setup for user input, encapsulated with inequality symbols indicating the interval format.---**Detailed explanation of calculations:**1. **Identify the sample data:** - Sample mean (x̄): 39.2 decibels - Standard deviation (s): 10.6 decibels - Sample size (n): 42. **Determine the degrees of freedom (df):** - \( df = n - 1 = 4 - 1 = 3 \)3. **Find the t-critical value (t*) for a 90% confidence interval with 3 degrees of freedom:** - From the t-table, t* for 90% confidence level and df = 3 is approximately 2.3534. **Calculate the margin of error (ME):** - \( ME = t* \cdot \left( \frac{s}{\sqrt{n}} \right) \) - \( ME = 2.353 \cdot \left( \frac{10.6}{\sqrt{4}} \right) \) - \( ME = 2.353 \cdot 5.3 = 12.47 \)5. **Determine the confidence interval:** - Lower bound = \( x̄ - ME = 39.2 - 12.47 = 26.73 \) - Upper bound = \( x̄ + ME = 39.2 + 12.47 = 51.67 \)6. **90% confidence interval:** - \( 26.73 < μ < 51.67 \)The result should be filled in the answer box provided on the webpage as follows: \[ 26.73 < μ < 51.67 \]Save your work if you wish to continue later, or submit the assignment for evaluation.

In question, We have given that a random sample of size 4 is choosen with sample mean 39.2 and…

Hospital Noise Levels For a sample of 4 operating rooms taken in a hospital study, the mean nolse level was 39.2 decibels and the standard devlation was 10.6. Find the 90% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable Is normally distributed. Round your answers to at least two decimal places. くpく

Hospital Noise Levels For a sample of 4 operating rooms taken in a hospital study, the mean nolse level was 39.2 decibels and the standard devlation was 10.6. Find the 90% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable Is normally distributed. Round your answers to at least two decimal places. くpく

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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