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A confidence interval is the mean (or average) of your estimate plus and minus the variation in that estimate. Since the prompt is asking for a confidence interval of 80-95% this means you are confident that 80-95 out of 100 times the estimate will fall between the upper and lower values specified by the confidence interval. An example of this would be calculating the average height of men. When you take into consideration 40 different men the average height is 175 centimeters. Since the standard deviation of men's height tends to be around 20 centimeters this will lead the confidence interval to be around 95 percent. 175cm + 6.2cm 175 + 6.2 165 170 175 180 185 168.8 181.2 This means that the true mean of all the men (if we could measure all their heights) will most likely be in between 168.8 centimeters and 181.2 centimeters. This might not be a fact but the "95%" says that 95% of experiments like this one that was just done will include the true mean, however, there is still 5% that won't. So this means that there is a 1-in-20 chance (here is where the 5% comes from) that the confidence interval does not include the true mean. Different things to take into consideration in this height example will be the age of the men, Men, and humans, in general, began to start to shrink at a certain age this can be a factor to consider. Another factor to consider will be possible the background of the men. Men from certain parts of the world can be shorter in height than those from other parts of the world. These two considerations can change the experiment and when we do get the confidence interval it is important to take this into consideration. Reply