1. The mean number of strikeouts is 4.
  2. The population standard deviation is 1.58113883.
    The sample standard deviation is 1.690308509.
  3. The regression line is: y = 0.774193548 x + 1.870967742.
    In practice, we would write it as y = 0.77 x + 1.87.
  4. The correlation (r) is 0.681554201. This means there is a moderately strong linear relationship between number of beers and number of strikeouts.  The fact that r is positive indicates that a high number of beers corresponds to a high number of strikeouts and vice versa.
  5. The number of options is 20C9 = 167,960.
  6. The number of different lineups is 9P4 = 3024.
  7. The full line up can be arranged in 9! = 362880. (Note: 9! = 9P9.)

 

sample problem set

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