A random sample of 25 employees of a local company has been taken. A 95% confide

Question

A random sample of 25 employees of a local company has been taken. A 95% confidence interval estimate for the mean weight for all employees of the company () is 148 to 179 pounds. Which of the following statements is valid?

A. 95% of the sample of employees has a weight between 148 and 179 pounds.

B. If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean weight () and 5% of the confidence intervals would not contain .

C. 95% of the population of employees has a weight between 148 and 179 pounds.

D. If the sampling procedure were repeated many times, 95% of the sample means (X) would be between 148 and 179 pounds.

Explanation / Answer

Definition of Confidence interval is "a range of values so defined that there is a specified probability that the value of a parameter lies within it".

So according to definition, option B

If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean weight () and 5% of the confidence intervals would not contain is correct.

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