You have given a test to your class and received the following scores: mean = 88

ID: 3351094 • Letter: Y

Question

You have given a test to your class and received the following scores:

mean = 88, standard deviation = 2.5

5 points total – 1-6 are worth ¼ point and & 7-8 are worth ½ point

1. What is the z-score for a raw score of 93.0? 2

2. What is the z-score for a raw score of 88.5? .2

3. What is the z-score for a raw score of 86.0? -.8

4. What is the T-score for a raw score of 84.5?

5. What is the T-score for a raw score of 87.0?

6. What is the T-score for a raw score of 92.5?

7. How well did a student perform who scored a raw score of 90.5?

8. How well did a student perform who scored a raw score of 93.0?

4)
x=84.5
z=(x-)/
=(84.5-88)/2.5
=-1.4

T = (Z x 10) + 50.
=(-1.4*10) +50
=36

5) x=87
z=(x-)/
=(87-88)/2.5
=-0.4
T = (Z x 10) + 50.
=(-0.4*10) +50
=46

6) x=92.5
z=(x-)/
=(92.5-88)/2.5
=1.8

T = (Z x 10) + 50.
=(1.8*10) +50
=68

7) z=(x-)/
=(90.5-88)/2.5
=1

P(x<90.5) =P(z<1) =0.8413 =84.13%

8)
z=(x-)/
=(93-88)/2.5
=2

P(x<93) =P(z<2) =0.9772=97.72%

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