4) A test is administered to students and the resulting scores are normally distributed. The mean of the test is 75 and the standard deviation is 8.

a) Draw the graph for the distribution of these data and label it both in terms of raw scores and z-scores (standard deviation units)

b) Identify the z-score for each of the following raw scores on this distribution:

83 63 93 75 60

c) Identify the percentage of students who scored in the following ranges of raw scores:

.. between 67 and 83 .. between 51 and 99 .. above 75 .. above 83 .. below 67 .. below 91 .. between 59 and 91 .. below 99

d) Identify the appropriate raw score corresponding to each of the following z-scores:

z = 1.5 z = 0 z = -3 z = -.25 z = 2.33 z = -1.75

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