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A random sample of 1000 daily newspapers found that on average, each edition contained 3.01 local crime stories per day, with a standard deviation of

A random sample of 1000 daily newspapers found that on average, each edition contained 3.01 local crime stories per day, with a standard deviation of 2.65. Answer the following questions assuming that the distribution of crime stories in newspapers is normal. (show work when applicable)

  1. What is the Z score associated with a newspaper with 8 local crime stories?
  2. What proportion of newspapers published five or fewer crime stories? How many does this correspond to in the sample?
  3. What number of news stories corresponds to a Z score of +1?
  4. What percentage of newspapers publish between 1 and 6 local crime stories per day?

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