Question: Explaining confidence A 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6. Discuss whether each of the following explanations is correct.
(a) We are confident that 95% of all young women have BMI between 26.2 and 27.4.
(b) We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4.
(c) Any value from 26.2 to 27.4 is believable as the true mean BMI of young American women.
(d) If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples.
(e) The mean BMI of young American women cannot be 28.