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"The confidence interval is (2668.4214) (Round to the nearest integer as needed) Interpret the interval. Select the correct choice below and fill in any answer boxes to complete your choice.

A tomb examination has resulted in a confidence interval for radon exposure levels in the region. What is the most accurate interpretation of this interval?

A. With % confidence, the expected level of radon exposure for the next tomb examined in the region is between ___ and ___ Bq/m³.
B. With % confidence, the true mean level of radon exposure in tombs in the region is exactly ___ Bq/m³.
C. With % confidence, the true variance of radon exposure in tombs in the region is between ___ and ___ Bq/m³.
D. With % confidence, the true mean level of radon exposure in tombs in the region is between ___ and ___ Bq/m³."

1 Answer

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Final answer:

The correct interpretation of a confidence interval such as (4.5, 9.5) is that with 95% confidence, the true mean level of radon exposure in tombs in the region is between 4.5 and 9.5 Bq/m³.

Step-by-step explanation:

The correct interpretation of a confidence interval in the context of a study on radon levels involves understanding the range and the confidence level associated with the estimate of the true population mean. When given a confidence interval such as (4.5, 9.5), and a confidence level (e.g., 95%), the main answer and correct interpretation (Option D) would be: "With 95% confidence, the true mean level of radon exposure in tombs in the region is between 4.5 and 9.5 Bq/m³." This means that if we were to take many samples and calculate the confidence interval for each sample, we expect 95% of those intervals to contain the true mean radon level in the region.

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