**The Usual Suspects**
Both the police and the instructor think that the true murderer is extremely smart. Examine the information below concerning test scores. You can safely eliminate the suspect with a percentile score below 98%. You will need to sketch and label a distribution graph for each calculation below.
The “fun-loving” senior earned 770 on the math portion of the SAT. SAT scores are normally distributed with a mean score of 500 and a standard deviation of 120.
A. Calculate the percentile score for the “fun-loving” senior.
The junior with the long big toe scored 130 on an IQ test that had a mean score of 100 and a standard deviation of 15. Scores on the IQ test are normally distributed.
B. Calculate the percentile score for the junior with the long big toe.
The Head Counselor scored a 557 on the Counseling Academic Proficiency Test (CAPT). The scores on this test are normally distributed with a mean of 500 and a standard deviation of 25.
C. Calculate the percentile score for the Head Counselor.
D. Can you eliminate a suspect? Which one?
E. Which suspects remain?
F. Which murder weapons still remain?
G. Which locations still remain?
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