Eggs Hens usually begin laying eggs when they areabout 6 months old. Young hens tend to lay smaller eggs,often weighing less than the desired minimum weight of54 grams.a) The average weight of the eggs produced by the younghens is 50.9 grams, and only 28% of their eggs exceedthe desired minimum weight. If a Normal model isappropriate, what would the standard deviation of theegg weights be?b) By the time these hens have reached the age of 1 year,the eggs they produce average 67.1 grams, and 98%of them are above the minimum weight. What is thestandard deviation for the appropriate Normal modelfor these older hens?c) Are egg sizes more consistent for the younger hens orthe older ones? Explain.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Eggs Hens usually begin laying eggs when they are
about 6 months old. Young hens tend to lay smaller eggs,
often weighing less than the desired minimum weight of
54 grams.
a) The average weight of the eggs produced by the young
hens is 50.9 grams, and only 28% of their eggs exceed
the desired minimum weight. If a Normal model is
appropriate, what would the standard deviation of the
egg weights be?
b) By the time these hens have reached the age of 1 year,
the eggs they produce average 67.1 grams, and 98%of them are above the minimum weight. What is the
standard deviation for the appropriate Normal model
for these older hens?
c) Are egg sizes more consistent for the younger hens or
the older ones? Explain.

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