For this problem, my task is simple. I have to be able to "summarize what key concepts are being explained in the example. I have to summarize what the problem is explaining and the bottom-line concepts described in the problem."

Can you help me summarize what this problem is stating and be able to explain it in basic English? Thank you.

Physical characteristics of manufactured products are often well described by normal distributions. Suppose, for example, that we want to evaluate the length (in cm) of certain parts in a production process based on the information in a random sample of ve such parts. The parts are required to have a nominal length of 20 cm; past experience with this process indicates that the standard deviation is known to be 0' = 1.8 cm. If we assume that the lengths can be described by a normal distribution, what is the probability that the mean of this sample will be within 2 mm of the current process mean 311.? That is, what is the probability that i will lie between pt 2 and p. + 2? The solution to this type of problem lies in recognizing that the sam- pling distribution of E is normal with a mean of a}: p. and standard error of af= (Jr/V5: 1.8/\\/= .805. To nd the probability P(p 2