Question: General: Suppose that x has a distribution with µ = 100 and σ = 48.

1. If a random sample of size n = 81 is drawn, find \({{\mu }_{{\bar{X}}}}\), \[{{\sigma }_{{\bar{X}}}}\] and
   \(\Pr (92\le \bar{X}\le 100)\)
2. If a random sample of size n = 121 is drawn, find \({{\mu }_{{\bar{X}}}}\), \[{{\sigma }_{{\bar{X}}}}\] and
   \(\Pr (92\le \bar{X}\le 100)\)
3. Again, comment on the difference in the probabilities in parts (a) and (b). Why do you expect the difference?

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