19. Baldfaced hornets are actually a type of yellowjacket, and not a hornet. They are distinguished from other yellowjackets by their white and black coloring. They have white or a "baldfaced" head, which is the source of its colloquial namesake. These wasps also have three white stripes at the end of their bodies. They are considerably larger than other species of Dolichovespula. Adults average 19 millimeters with a standard deviation of 2.9 millimeters in length. Suppose a biologist studying Baldfaced hornets in the northern part of Idaho collected 43 of these wasps from the same area within 10,000 acres of Spruce Lake for study. (a) Identify the sampling distribution of the sample mean of lengths. (b) Between what two values would you expect to find the average lengths of "all" adult Baldfaced hornets based on this same sample size? (c) How does this differ from "all" the lengths? (d) Identify the 95th percentile for the average adult body lengths based on this same sample size. (e) Suppose the biologist found the average adult average body length was 17.98 mm for this nest. Should the biologist consider this an unusual find? Why