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A researcher is interested in estimating the mean cholesterol level in men. Based on a simple...

A researcher is interested in estimating the mean cholesterol level in men. Based on a simple random sample of 54​ men, the​ 95% confidence interval for the population mean​ μ was 189.9​ < μ​ < 210.1

A. If 100 different samples of size 54 are​ selected, and based on each​ sample, a confidence interval was​ constructed, exactly 95 of these confidence intervals would contain the true value of​ μ.

B. If many different samples of size 54 are selected​ and, based on each​ sample, a confidence interval was​ constructed, in the long​ run, 95% of the confidence intervals would contain the true value of​ μ.

C. There is a​ 95% chance that the true value of​ μ lies between 189.9 and 210.1.

D. If many different samples of size 54 are selected​ and, based on each​ sample, a confidence interval was​ constructed, 95% of the time the true value of​ μ would lie between 189.9 and 210.1.

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If many different samples of size 54 are selected​ and, based on each​ sample, a confidence interval was​ constructed, in the long​ run, 95% of the confidence intervals would contain the true value of​ μ.

Option B is correct.

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