Answer:
The minimize size that can be taken is - 31.28 or 31 .
Step-by-step explanation:
Lets calculate -
  Population standard deviation, [tex]\sigma=3.4 inches[/tex]
  Margin of error, E = 1
  Critical value , [tex]z_0_._0_5 =1.645[/tex]
Now , the size of the sample , [tex]n=(\frac{z\times \sigma}{E} )^2[/tex]
  Putting the given values ,
          [tex]=(\frac{1.645\times 3.4}{1})^2[/tex]
         = 31.28 or 31 .
The given table of the question has been attached here .
Hence , the answer is 31.
