A random sample of 25 employees of a local company has been taken. A 95% confidence interval estimate for the mean systolic blood pressure for all employees of the company is 123 to 139. Which of the following statements is valid?

(A) 95% of the sample of employees has a systolic blood pressure between 123 and 139.

(B) If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

(C) If the sampling procedure were repeated many times, 95% of the sample means would be between 123 and 139.

(D) 95% of the population of employees has a systolic blood pressure between 123 and 139.

Question

Mohamed Lozano

Mathematics

29 November, 11:53

A random sample of 25 employees of a local company has been taken. A 95% confidence interval estimate for the mean systolic blood pressure for all employees of the company is 123 to 139. Which of the following statements is valid?

(A) 95% of the sample of employees has a systolic blood pressure between 123 and 139.

(B) If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

(C) If the sampling procedure were repeated many times, 95% of the sample means would be between 123 and 139.

(D) 95% of the population of employees has a systolic blood pressure between 123 and 139.

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Answers (1)

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Payton Nguyen · Answer 1

(B) If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

A confidence interval of 95% means that there is a 95% certainty that for a given sample, the population mean will be within the confidence interval estimated.

This is the same as saying that if he sampling procedure were repeated many times, 95% of the time the population mean would be contained in the resulting confidence interval.

Therefore, the answer is B)