Question

In: Biology

Flower color in buffalo clover is either white or some shade of pink to red. Pollen...

Flower color in buffalo clover is either white or some shade of pink to red. Pollen from a red individual was applied to white flowers in 1999. This seed was germinated in 2000 and four red plants were obtained in the progeny. These four red plants were allowed to self pollinate in summer 2000 to produce the next generation. Populations of progeny from each of the four plants were grown in the greenhouse in spring 2001 and the following data were obtained. Propose a hypothesis and calculate a Chi Square for each plant and the pooled data, and determine if these data fit your hypothesis.

Cross Plant    Red   White

6/2X10/4 #1   21   8

6/2X10/4 #2 53 18

6/2X10/4 #3   49 18

6/2X10/4 #4    60   21

Pooled            183 65

Solutions

Expert Solution

As we can see from the result of F1 cross that ratio of F2 generation population is 3:1:; Red: White

Plant 1 Observed o Expected e Deviation d (Observed- expected) Deviation square d2 d2/e
Red 21 21.75 -0.75 0.5625 0.025862
White 8 7.25 0.75 0.5625 0.077586
Total 29 0.103448
Plant 2 Observed o Expected e Deviation d (Observed- expected) Deviation square d2 d2/e
Red 53 53.25 -0.25 0.0625 0.001174
White 18 17.75 0.25 0.0625 0.003521
Total 71 0.004695
Plant3 Observed o Expected e Deviation d (Observed- expected) Deviation square d2 d2/e
Red 49 50.25 -1.25 1.5625 0.031095
White 18 16.75 1.25 1.5625 0.093284
Total 67 0.124378
Plant 4 Observed o Expected e Deviation d (Observed- expected) Deviation square d2 d2/e
Red 60 60.75 -0.75 0.5625 0.009259
White 21 20.25 0.75 0.5625 0.027778
Total 81 0.037037
Pool data Observed o Expected e Deviation d (Observed- expected) Deviation square d2 d2/e
Red 183 186 -3 9 0.048387
White 65 61.5 3.5 12.25 0.199187
Total 248 0.247574


Since there are two alleles which are involved in the cross so the degree of freedom will be 2-1 = 1.

For df =1 the 5% level of significance, the value is 3.64. which allow us to accept the hypothesis and put data fits in Mendel's monohybrid heterozygous cross.


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