SOLUTION: The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is sti

Algebra ->  Probability-and-statistics -> SOLUTION: The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is sti      Log On


   

Question 981605: The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is still medium size?
3.2 oz
3.33 oz
3.45 oz
3.46 oz
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is still medium size?
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Draw a normal curve.
Sketch a 95% area centered at 3.2 oz
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Find the z-value of the upper limit of that area.
invNorm(0.975) = 1.96
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Find the corresponding weight value::
x = z*s + u
x = 1.96*0.13+3.2 = 3.45 oz
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Cheers,
Stan H.
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3.2 oz
3.33 oz
3.45 oz
3.46 oz