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The scores on the Psychomotor Development Index (PDI), a scale of infant development, have a normal population distribution with mean 100 and a standard deviation of 15.
a. For an infant selected at random, find the probability of that infant having a PDI value of 90 or less and plot it on a distribution curve.
b. A study uses a random sample of 25 infants. Using the sampling distribution of the sample mean PDI, find the probability of a mean PDI of 90 or less and plot it on a distribution curve.
c. Explain why there are differences in the probabilities for a PDI value of 90 for one infant and for a sample mean PDI score of 90 for 25 infants
Note show the results on the graph
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