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It is desired to estimate the mean total compensation of CEOs in the Service industry. Data were randomly collected from 45 CEOs, and the 95% confidence interval was calculated to be ($139,134, $154,365). Which of the following interpretations is correct?

A. They are 95% confident that the mean total compensation of all CEOs in the Service industry falls in the interval $2,181,250 to $5,836,180.

B. 95% of the sampled total compensation values fell between $2,181,260 and $5,181,180.

C. In the population of Service industry CEOs, 95% of them will have total compensations that fall in the interval $2,181,260 to $5,836,180.

D. They are 95% confident that the mean of the sampled CEOs falls in the interval of $2,181,260 to $5,836,180.

Answer :

Final answer:

The correct interpretation is d. They are 95% confident that the mean of the sampled CEO's falls in the interval of $2,181,260 to $5,836,180.

Explanation:

The correct interpretation is d. They are 95% confident that the mean of the sampled CEO's falls in the interval of $2,181,260 to $5,836,180.

This interpretation accurately reflects the concept of a confidence interval. In this case, the 95% confidence interval calculated from the sampled data suggests that we can be 95% confident that the true mean total compensation of all CEOs in the Service industry falls within the range of $2,181,260 to $5,836,180.

Learn more about confidence interval here:

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