1. Determine the z-score for a data value of 19.1 if the data set is normally distributed with a mean of 23.3 and a standard deviation of 2.4.









  2. The lengths of housefly wings are normally distributed. Consider the following set of wing lengths.



      1. Determine the mean and standard deviation for the housefly wing length data provided.

         

      2. What is the z-score of a fly that has a wing length of 4.6 mm?

         

      3. What is the wing length of a fly that has a z-score of −1.3?


  3. Justine competed in three races at a track and field event. Her results and the results of all of the racers are shown in the table below.

    EventJustine's Time (s)Mean of All
    Racers (s)    		Standard Deviation of all
    Racers (s)
    100 m
    12.5
    12.7
    0.7
    200 m
    26.5
    26.8
    1.3
    400 m
    63.4
    59.7
    2.5


    Compared to the other racers, in which event did Justine do the best? The worst?





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