If we had a population that was normally distributed and had a mean of 100 and a standard deviation of 10....

a.If we sampled a lot of items, say 100 items, from this population, what should we expect the largest and the smallest values to be in that sample? Explain why and how you arrived at your answer.

b.Now assume we repeated the experiment in part "a" 100 times....In other words, we took 100 subgroups of 100 items.We would expect the mean of the means to be equal to the mean of the individuals, but due to random variation it is unlikely that the two would actually be the same.So, what should be the largest and smallest means of the 100 subgroups? Explain why and how you arrived at your answer.