The scores on the Psychomotor Development Index (PDI), a scale of infant development, are approximately normal with
Question:
The scores on the Psychomotor Development Index
(PDI), a scale of infant development, are approximately normal with mean 100 and standard deviation 15.
(a) An infant is selected at random. Find the probability that PDI is below 95.
(b) A study uses a random sample of 36 infants. Specify the sampling distribution of the sample mean PDI, and find the probability that the sample mean is below 95.
(c) Would you be surprised to observe a PDI score of 95?
Would you be surprised to observe a sample mean PDI of 95? Why?
(d) Sketch the population distribution for the PDI. Superimpose a sketch of the sampling distribution for n = 25.
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Related Book For 
Statistical Methods For The Social Sciences
ISBN: 9781292220314
5th Global Edition
Authors: Alan Agresti
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