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Answer :
Final answer:
To calculate the 95% confidence interval for the mean noise level in the operating rooms, use the formula CI = mean ± (Z * (standard deviation / √n)). Plugging in the given values, the 95% confidence interval is (27.74, 51.06) decibels.
Explanation:
To calculate the 95% confidence interval for the mean noise level in the operating rooms, you can use the formula:
CI = mean ± (Z * (standard deviation / √n))
Where CI is the confidence interval, mean is the sample mean noise level, Z is the Z-score corresponding to the desired confidence level (1.96 for a 95% confidence level), standard deviation is the sample standard deviation, and n is the sample size.
Plugging in the given values, we get:
CI = 39.4 ± (1.96 * (11.9 / √4)) = 39.4 ± (1.96 * 5.95) = 39.4 ± 11.66
The 95% confidence interval for the mean noise level in the operating rooms is (27.74, 51.06) decibels.
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