Question

If you have an experimental average of 1.098 g/ml with a confidence limit of 0.088 at a 95% confidence level from a set of data points, this means that you are 95% confident that the average is accurate between the interval of +/- 0.088. True or False.

A) True
B) False
C) Not enough information provided to determine.
D) Partially true, partially false.

Answer 1

The statement is true; with a 95% confidence level and a confidence limit of 0.088, the true population mean is confidently estimated to be within the interval of 1.098 +/- 0.088 g/ml.

Step-by-step explanation:

If you have an experimental average of 1.098 g/ml with a confidence limit of 0.088 at a 95% confidence level, this indeed means that based on the data, there is a 95% confidence that the true population mean is within the interval of 1.098 +/- 0.088 g/ml. This is to say, the true mean is estimated to be between 1.010 (1.098 - 0.088) and 1.186 (1.098 + 0.088) g/ml.

The statement suggests that if you were to take multiple samples and create a confidence interval for each sample, about 95% of these intervals would contain the true population mean. It's important to understand that the remaining 5% of the intervals would not contain the true mean, reflecting the inherent uncertainty when estimating population parameters.

Therefore, the answer to the question is A) True, as the interval provided with the confidence limit does indeed reflect the range in which we are 95% confident that the true mean lies.