1. What percentage of data will lie between µ + s and µ + 3s in a normal distribution?
   
   
   
   
   
   
   
   
   
   
   
2. Determine the mean value of a data set that is normally distributed if the same amount of data lies below 71 as lies above 87.
   
   
   
   
   
   
   
   
   
3. A company is manufacturing sprockets with a mean size of 812.00 mm and a standard deviation of 0.15 mm.
   
   
1. If sprockets smaller than 811.55 and larger than 812.15 are rejected, what percentage of the company's sprockets will be rejected?

1. Describe how the standard deviation would need to change so fewer sprockets are rejected. What does this mean in terms of the manufacturing process?
   
   
   
   
   
   
   

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