Final answer:
The question focuses on calculating the margin of error for a sample of blue gill lengths from Mud Lake and understanding its implications for a 95% confidence interval.
Step-by-step explanation:
The question deals with the concept of margin of error which is a statistic reflecting the amount of random sampling error in a survey's results. The margin of error indicates the precision of an estimate from sample data, and in this case, it pertains to the average length of blue gills caught in Mud Lake. Given the sample size (26 individuals), the mean length (7.25 inches), and the standard deviation (0.75 inches), the margin of error has been calculated to be approximately 0.293 inches. For a 95% confidence interval, this means that if the same sampling method is used repeatedly, the calculated interval would encompass the true population mean 95% of the time.