Fruit flies Offspring of certain fruit flies may haveyellow or ebony bodies and normal wings or short wings.Genetic theory predicts that these traits will appear in theratio 9:3:3:1 (9 yellow, normal: 3 yellow, short: 3 ebony,normal: 1 ebony, short). A researcher checks 100 suchflies and finds the distribution of the traits to be 59, 20,11, and 10, respectively.a) Are the results this researcher observed consistent withthe theoretical distribution predicted by the geneticmodel?b) If the researcher had examined 200 flies and countedexactly twice as many in each category—118, 40, 22,20—what conclusion would he have reached?c) Why is there a discrepancy between the twoconclusions?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Fruit flies Offspring of certain fruit flies may have
yellow or ebony bodies and normal wings or short wings.
Genetic theory predicts that these traits will appear in the
ratio 9:3:3:1 (9 yellow, normal: 3 yellow, short: 3 ebony,
normal: 1 ebony, short). A researcher checks 100 such
flies and finds the distribution of the traits to be 59, 20,
11, and 10, respectively.
a) Are the results this researcher observed consistent with
the theoretical distribution predicted by the genetic
model?
b) If the researcher had examined 200 flies and counted
exactly twice as many in each category—118, 40, 22,
20—what conclusion would he have reached?
c) Why is there a discrepancy between the two
conclusions?

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