A study reports the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months. The margin of error for a 95% confidence interval is given as plus or minus 5 milligrams per deciliter of blood (mg/dl). This means that

This means that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

Step-by-step explanation:

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

For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds(margin of error) of the confidence interval.

For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.