Calculate Wheat Field Yields: Mean of 10 Tons/Acre with 2 SD - Practice Problem

  • Thread starter taffyleg
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In summary, the yield for 68% of the 100 wheat fields should fall within the 8 to 12 ton range, with 95 fields having yields in this range. This is based on the mean yield of 10 tons/acre and a standard deviation of 2.
  • #1
taffyleg
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For a sample of 100 wheat fields, the mean yield was 10 tons/acre and the standard deviation 2. Approximately how many fields out of the 100 should have yields in the 8 to 12 ton range? Show work.
 
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  • #2
What have you figured out so far?
 
  • #3
I'm hoping the answer is 68. I don't understand at what point you differentiate betwen multiplying by 95.4% or 68.3%.
 
  • #4
taffyleg said:
I'm hoping the answer is 68. I don't understand at what point you differentiate betwen multiplying by 95.4% or 68.3%.

68.3% the the area under the normal curve within 1 standard deviation; 95.4% is the area under the normal curve within 2 standard deviations.

Since the question gives you 1 standard deviation in either direction, your answer is correct. 95 fields would be the correct answer if they asked for the numbr with 6 to 14 tons.
 

Related to Calculate Wheat Field Yields: Mean of 10 Tons/Acre with 2 SD - Practice Problem

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