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The psychomotor Development Index of the Bayley Scales of Infant Development is part of a test often used to assess early development in infants.

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The psychomotor Development Index of the Bayley Scales of Infant Development is part of a test often used to assess early development in infants. A study found that the scores of a large group of infants tested at age six months were normally distributed with mean 104 and standard deviation 12.6. What is the probability that a six-month-old infant chosen at random will have a score less than 94? For this calculation Z = (Write your answer correct to 2 decimal places). The probability that a six-month-old infant chosen at random will have a score less than 94 is . (Write your answer correct to 4 decimal places). To assist in answering this question, Standard Normal Probabilities are given below. Recall that Z = x- Z -3.4 -3.3 32 0.0007 0.0007 0.0006 0.0006 0.0006 Standard Normal Probabilities for Negative Z-scores 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0006 0.0005 0.0005 0.0005 0.08 0.09 0.0002

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