Solution) The following statistics were computed for test scores for two age groups: 9 year-olds 12 year

Question: The following statistics were computed for test scores for two age groups:

	9 year-olds	12 year-o1ds
Mean	48	52
s	4	6
N	170	210

a) Assuming both groups' distributions were normal in shape, estimate the proportion of 12 year-olds that did worse than the average 9 year-old. Sketch out a diagram showing the two distributions, labeling the raw score and z-score metrics. Also cross hatch the proportion of area you are trying to fmd. SHOW ALL OF YOUR WORK.

b) How MANY 12 year-olds did worse than the average 9 year-old?

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