9) A 95% confidence interval for the true mean cholesterol of adult males based on 25 randomly selected subjects extends from 175 mg/L to 250 mg/L. A proper interpretation of the confidence interval would be that:
A) 95% of the population has a cholesterol level between 175 and 250 mg/L.
B) We are 95% confident that the true mean cholesterol level of the population falls between 175 and 250 mg/L.
C) There is a 95% chance that a randomly selected individual has a cholesterol level that falls between 175 and 250 mg/L.
D) None of the above
man cholesterol is 175mg/dl , standard deviation 20mg/dl..approximate normal distribution..what percentage has cholesterol above 155mg/dl? thanks..
B) We are 95% confident that the true mean cholesterol level of the population falls between 175 and 250 mg/L.
To understand why option B is the correct interpretation, let's first understand what a confidence interval is. A confidence interval is a range of values within which we estimate the true value of a population parameter, such as the mean cholesterol level. In this case, we are interested in estimating the true mean cholesterol level of adult males.
The confidence level, in this case 95%, represents the degree of certainty or confidence we have in our estimation. It tells us that if we were to repeat the process of randomly selecting 25 subjects and calculating the confidence interval many times, approximately 95% of those intervals would contain the true mean cholesterol level.
So, option B correctly states that we are 95% confident that the true mean cholesterol level of the population falls between 175 and 250 mg/L.