Suppose we calculated a 99% confidence interval for the mean height of Cal State

Question

Suppose we calculated a 99% confidence interval for the mean height of Cal State LA Public Health students based on a random sample of 50 students. We found the confidence interval ranges from 66 to 70 inches. What is the best explanation of the meaning of this interval? Select one: a. For 99% of possible random samples, the computed interval includes the population mean. b. The probability is 1% that the population mean is between 66 and 70. c. The probability is 1% that the sample mean is between 66 and 70. d. 99% of the students are between 66 and 70 inches tall.

Explanation / Answer

Correct Answer : Option (B)

since

If repeated samples were taken and the 99% confidence interval computed for each sample, 99% of the intervals would contain the population mean. It is natural to interpret a 99% confidence interval as an interval with a 0.99 probability of containing the population mean.

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