Dattaprabhakar G. answered • 07/27/14

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Sheily:

You ask "how many of the loaves (rounded......)....8.8 gms of wheat grains?

You have to careful, because this question can not be answered!!! You have a

**sample**of 100 loaves. As an extreme, you may have NO loaf that has less than 8.8 gms of grains or may be 26, who knows? Any arbitrary number between 0 and 100.All you can answer is what the "expected" number of loaves in a

**random**sample of 100 containing those that ahve less than 8.8 gms of grains. This you do by multiplying the probability Pr[ X < 8.8], X being the wheat grains in a loaf (in gms) by 100, the sample size. PLEASE UNDERSTAND WHAT I AM SAYING. Ask me as a comment if you need me to explain.Now Pr[ X < 8.8] = Pr [ z = (X - 11.4)/1.3 < (8.8 - 11.4)/1.3] = Pr[ z < -2].

Go to the weblink http://www.danielsoper.com/statcalc3/calc.aspx?id=2

Enter z_score = -2.0 to get 0.02275. Multiply by 100 to get the answer-----2.27 = 2, rounded to the nearest loaf.