You work for a city\'s GED program. You are in charge of accepting applications

Question

You work for a city's GED program. You are in charge of accepting applications and assigning students to classes. Each GED class accommodates 25 students. Over the past 10 years, an average of 750 people have applied for the program with a standard deviation of 50 (assume normal distribution). Calculate the statistics for the following question and remember that number of classes and number of people are two different numbers - dont forget to convert people into class.

There is talk of cutting funding for the program. Based on past data, how many classes would create only a 25% chance of meeting demand?

Explanation / Answer

First, we get the z score from the given left tailed area. As          
          
Left tailed area =    0.25      
          
Then, using table or technology,          
          
z =    -0.67448975      
          
As x = u + z * s,          
          
where          
          
u = mean =    750      
z = the critical z score =    -0.67448975      
s = standard deviation =    50      
          
Then          
          
x = critical value =    716.2755125      

Hence,

Hence, in terms of classes,

716.2755/25 = 28.651 or around 29 classes [ANSWER]

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