Hospital Noise Levels Noise levels at various area urban

Chapter 7, Problem 19E

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QUESTION:

Problem 19E

Hospital Noise Levels Noise levels at various area urban hospitals were measured in decibels. The mean of the noise levels in 84 corridors was 61.2 decibels, and the standard deviation of the population was 7.9. Find the 95% confidence interval of the true mean.

Source: M. Bayo, A. Garcia, and A Garcia. “Noise Levels in an Urban Hospital and Workers’ Subjective Responses.” Archives of Environmental Health 50. no. 3, p. 249 (May–June 1995). Reprinted with permission of the Helen Dwight Reid Educational Foundation. Published by Heldref Publications. 1319 Eighteenth St. N.W., Washington. D.C. 20036-1802. Copyright © 1995.

Questions & Answers

QUESTION:

Problem 19E

Hospital Noise Levels Noise levels at various area urban hospitals were measured in decibels. The mean of the noise levels in 84 corridors was 61.2 decibels, and the standard deviation of the population was 7.9. Find the 95% confidence interval of the true mean.

Source: M. Bayo, A. Garcia, and A Garcia. “Noise Levels in an Urban Hospital and Workers’ Subjective Responses.” Archives of Environmental Health 50. no. 3, p. 249 (May–June 1995). Reprinted with permission of the Helen Dwight Reid Educational Foundation. Published by Heldref Publications. 1319 Eighteenth St. N.W., Washington. D.C. 20036-1802. Copyright © 1995.

ANSWER:

Solution:

Step 1 of 2:

        From the given problem, we have

            The sample size n = 84

            The mean

            The standard deviation

            The confidence interval = 95% = 0.95.  

We have to find the 95% confidence interval of the true mean.


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