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Sherlock and Watson both took a detective aptitude test for which µ= 500 and σ= 125....

  1. Sherlock and Watson both took a detective aptitude test for which µ= 500 and σ= 125. (4 marks)
    1. Sherlock’s score was 800.
      What is his Z score?
      What proportion of the population would be expected to score higher?
    2. Watson’s score was 475.
      What is his Z score?
      What percent of the population would be expected to score lower?
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