The confidence interval for a population mean has a margin of error of .075 determine the length of the confidence interval
To determine the length of the confidence interval, we need to know the margin of error. In this case, the margin of error is given as 0.075.
The length of the confidence interval is twice the margin of error. This is because the confidence interval is symmetric around the population mean, with the margin of error representing how far we can expect the sample mean to deviate from the population mean.
Mathematically, the length of the confidence interval can be calculated as follows:
Length of Confidence Interval = 2 * Margin of Error
Substituting the value given:
Length of Confidence Interval = 2 * 0.075
Length of Confidence Interval = 0.15
Therefore, the length of the confidence interval is 0.15.