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