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A particular type of 4th grade Achievement Test provides overall scores that are normally distributed with a mean of 50 and a standard deviation of 10. Use this information for questions 11-14
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11. What is the probability that a randomly selected student earns a score of at least 42?
a) .7881
b) .2881
c) .2119
d) .1921
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12. What is the probability that a randomly selected student earns a score between 33 and
48?
a) .3761
b) .4207
c) .4653
d) .0446
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13. One state wants to allow all students with scores in the top 3% into a special advanced program. What will be the minimum score required to be admitted into this program?
a) 1.88
b) 31.2
c) -1.88
d) 68.8
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14. Suppose that after the first exam you compute the z-score that corresponds to your exam score on Exam 1. Your z-score was -1.34. Which of the following can you say about your score on Exam 1?
a) You scored above the mean on Exam 1.
b) You scored exactly the mean on Exam 1.
c) You scored below the mean on Exam 1.
d) This can not be determined from the above information
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