Respuesta :
Answer:
(a) 90
(b) 30
(c) 30
(d) 10
F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation.
F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment
Explanation:
The F2 phenotypes are supposed to be in 9:3:3:1 according to Mendelian law. The total number of F2 progeny is: 80 + 36 + 39 + 5 = 160
(a) Hence, the expected number of tall, violet plants will be:
9/16 x 160 = 90
(b) Expected number of tall, white plants will be:
3/16 x 160 = 30
(c) Expected number of dwarf, violet plants will be:
3/16 x 160 = 30
(d) Expected number of dwarf, white plants will be:
1/16 x 160 = 10.
Total number of tall F2 plants = 80 + 36 = 116
Total number of dwarf F2 plants = 39 + 5 = 44
Expected ratio of tall:dwarf plants according to Mendel = 3:1
Expected number of tall plants = 3/4 x 160 = 120
Expected number of dwarf plants = 1/4 x 160 = 40
Chi square [tex]X^2[/tex]
= [tex]\frac{(observed frequency - expected frequency)^2}{expected frequency}[/tex]
[tex]X^2[/tex] for tall = [tex]\frac{(116 - 120)^2}{120}[/tex]
= 0.1333
[tex]X^2[/tex] for dwarf = [tex]\frac{(44 - 40)^2}{40}[/tex]
= 0.40
Total [tex]X^2[/tex] = 0.1333 + 0.4
0.5333
Degree of freedom = n - 1
2 - 1 = 1
Tabulated [tex]X^2[/tex] (α = 0.05) = 3.841
Since the tabulated [tex]X^2[/tex] is more than the calculated [tex]X^2[/tex], the hypothesis that the F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation is accepted.
Observed Expected [tex]X^2[/tex]
tall, violet flowers 80 90 [tex]\frac{(80-90)^2}{90} = 1.11[/tex]
tall, white flowers 36 30 [tex]\frac{(36-30)^2}{30} = 1.2[/tex]
dwarf, violet flowers 39 30 [tex]\frac{(39-30)^2}{30} = 2.7[/tex]
dwarf, white flowers 5 10 [tex]\frac{(5-10)^2}{10} = 2.5[/tex]
Total 160 160 7.51
Degree of freedom = 4 - 1 = 3
Tabulated [tex]X^2[/tex] (α = 0.05) = 7.815
The tabulated [tex]X^2[/tex] value is more than the calculated [tex]X^2[/tex] value. Hence, F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment.
The number of plants to the following questions are:
(a) 90
(b) 30
(c) 30
(d) 10
The chi square value for F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation is = 0.1333.
The chi square value for F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment is = 0.40.
What is chi square value?
The chi-squared statistic is a single value that indicates how much difference there is between the counts you saw and the counts you would predict if the population had no relationship at all.
(a) The expected number of tall, violet plants will be:
[tex]\dfrac{9}{16} \times 160 = 90[/tex]
(b) Expected number of tall, white plants will be:
[tex]\dfrac{3}{16} \times 160 = 30[/tex]
(c) Expected number of dwarf, violet plants will be:
[tex]\dfrac{3}{16} \times 160 = 30[/tex]
(d) Expected number of dwarf, white plants will be:
[tex]\dfrac{1}{16} \times 160 = 10[/tex]
Step 1: Now calculating chi square value by this formula:
[tex]\bold{X_2 = \dfrac{Observed\; frequency- expected\;frequency}{expected\;frequency} }[/tex][tex]\bold{X_2 = \dfrac{(116- 120)^2}{120}= 0.133 }[/tex]
Given, observed frequency:
80 tall, violet flowers
36 tall, white flowers
39 dwarf, violet flowers
5 dwarf, white flowers
For tall plants :
Observed frequency 80+ 36 = 116
Expected frequency [tex]\dfrac{3}{4} \times 160= 120[/tex]
Now put in formula
[tex]\bold{X_2 = \dfrac{(116- 120)^2}{120}= 0.133 }[/tex]
For dwarf plants:
Observed frequency 39 + 5 = 44
Expected frequency [tex]\dfrac{1}{4} \times 160= 40[/tex]
Now put in formula
[tex]\bold{X_2 = \dfrac{(44- 40)^2}{40}= 0.40 }[/tex]
Total = 0.1333 + 0.4 = 0.5333
Similarly, we can calculate the total chi square value of this one is 7.51.
Thus, the tabulated value exceeds the computed value. As a result, the F2 data for stem length (tall:dwarf) and blossom color (violet:white) follows Mendel's law of independent assortment.
Learn more about Mendel, here
https://brainly.com/question/3186121
Since the tabulated is more than the calculated, the hypothesis that the F2 data for stem length (tall:dwarf) is consistent with Mendel's law of segregation is accepted.
Observed Expected
tall, violet flowers 80 90
tall, white flowers 36 30
dwarf, violet flowers 39 30
dwarf, white flowers 5 10
Total 160 160 7.51
Degree of freedom = 4 - 1 = 3
Tabulated (α = 0.05) = 7.815
The tabulated value is more than the calculated value. Hence, F2 data for stem length (tall:dwarf) and flower color (violet:white) is consistent with Mendel's law of independent assortment.
