Genetic Inheritance

Exercise 1: F1 Hybrid Cross

Results:

Punnett Square for F1 Cross ¡V Expected Genetic Outcomes


F1 Parent, genes: _________
(student to fill in the blanks)
¡ð alleles >
¡ñ alleles v
F1 Parent, genes:__________
(student fill in blank)


1. Expected phenotypic ratio of green to white progeny: _____:_____.
Calculation of Expected Ratio (Frequency) = __________ = Total Number of (Color) Seedlings ¡Ò Total of All Seedlings.

2. If 320 F2 offspring resulted from this F1 cross, how many would be green? White?

Table 1: Results of F1 Cross

Observed Phenotypes of F2 Progeny
# green plants = V # white plants = V Total # plants

Petri Dish 1 >

Petri Dish 2 >
Total

Observed Frequency of F2 Phenotype, Green:White = ______:______
Calculation of Observed Ratio (Frequency) = Total Number of (Color) Seedlings for Both Dishes ¡Ò Total of All Seedlings

Discussion:

A. Did the results support or refute the hypothesis? Explain.

B. How similar are the observed to the expected results from the Punnett Square?

C. If the results are not similar, how might the difference be explained?

D. Will a monohybrid F1 cross in corn yield the same ratio of expected phenotype in progeny as for the tobacco seedlings? Why or why not?

E. If available, compare your F2 seedling data to those of your classmates. Are the outcome ratios the same? Why might using a larger number of seedlings to determine this outcome be wise?

Exercise 2: Dihybrid Genetic Crosses

PROCEDURES:

1. Based on what you can conclude about its genetic makeup when told that the corn plant parent cross (P) pictured in Figure 2 is between a completely dominant plant and a completely recessive plant,

A. Construct and record a hypothesis about what the genetic makeup and the frequencies of the alleles for the F1 progeny plants in the dihybrid cross of corn will be. Record your hypothesis here:

B. If these F1 progeny are mated, what will be the resulting allelic frequency for the F2 progeny? Record this hypothesis here:

2. Based on the phenotype and genotype information for the P cross from 1 above, record the genotypes and Expected Frequencies for P and F1 in Table 9.2. Hint: One of the cobs contains all ppss kernels. Which one? Record the answer here:

3. Construct a Punnett Square for the P cross producing the F1 progeny. What is the only possible genetic outcome for the F1 progeny? What is the phenotypic outcome? Place your Punnett Square here:

4. Using the Punnett Square for F1 Dihybrid Cross, Figure 3, indicate the possible genetic outcomes for the F2 progeny here:

Results:

A. What are the two hypotheses that you made about the allelic frequencies of progeny produced by the crosses:
P x P?

F1 x F1?

B. Based on what you know about phenotypes and Figure 2, for the P generation, what is the corn plant genotype on each cob containing the P corn kernels.
One is completely dominant, so its genotype is ______________.
One is completely recessive, so its genotype is_____________.

C. Would it make a difference in the outcome of this cross if the genotype of one parent is PPss and the other is ppSS?

D. From the phenotype of the kernels on each P generation cob what would the predicted genotype of any F1 plant be?.

E. Given the 2n equation predict how many different genetic outcomes will be possible from an F1 cross resulting in the F2 generation in a dihybrid corn cross.

F. If a F2 corn cob resulting from this F1 cross contained 563 seeds, how many of the seeds would you expect to look like the F1 parent?

Table 2: Dihybrid Cross in Corn ¡V Results of P Cross
P = purple, p = yellow
S = smooth, s = wrinkled
(student to fill in all blanks _______ )
Generation Expected Alleles V Expected Alleles V
P >
dominant x recessive ______
_ppss_
F1 Progeny > _______

Frequency > _______

Figure 3: Punnett Square for F1 Dihybrid Cross
Expected Genotypic Outcomes
(student to fill in)
Parent 1 F1 ¡V can produce these gametes: ________V
(student to fill in)
¡ð
¡ñ
Parent 2 F1 ¡V can produce these gametes:
________>







Shaded portion above represents the F2 progeny genotype and phenotype. Student to fill in.

Table 3: Dihybrid Cross in Corn ¡V Results of F1 Cross in F2 Progeny
Phenotype of Progeny

(What they look like ¡V word description)
V Genetic Designations possible for this Phenotype

e.g., PPSS
V Predicted Allelic Frequency

(Expected Ratio)
V Number of this Phenotype
Total Counted:

__100___
(Observed Number)
Actual Allelic Frequency

(Observed Ratio)*






e.g., Yellow, wrinkled ppss
* Actual Allelic Frequency (Observed Ratio)
= Number of this Phenotype Total Counted „i 100 kernels total counted
Discussion:

A. How well do the predicted results match the actual results in Table 3?

B. Based on the Punnett Square predictions, can a statement be made as to whether your hypotheses are supported or rejected? Which and why?

C. Dihybrid F1 crosses result in a predictable F2 progeny phenotypic frequency that holds true universally. Based on the Expected outcome, what is it?

D. If your results are not as expected why might there be differences?

E. What applications might this type of genetic investigation have? How might the information be applied medically?

Exercise 3: Chi-square and Hypothesis Testing

Results:

Table 4: ƒÓ2 Goodness of Fit Test for F2 Phenotypic Results from F1 Corn Cross
Phenotype Description of F2 Progeny from Table 9.3 Observed Number from Table 9.3 Observed Ratio
from Table 9.3 Expected Ratio
from Table 9.3 * Expected Number,
calculated ** [Observed No. ¡V Exp. No.]2
„i Expected No.






e.g., Yellow, wrinkled
„¸ Sum of
column = ƒÓ2, Chi-square value *** >

* Expected Number, calculated
= „¸ Sum of Observed Number x Expected Ratio for that phenotype

** = (Observed number ¡V Expected number, calculated) square
„i Expected Number, calculated

*** ƒÓ2, Chi-square value = „¸ Sum of (Observed number ¡V Expected number, calculated)squared „i Expected Number, calculated
ƒÓ2 Table of Probabilities

Good Fit Probability Poor Fit Probability
Degrees of Freedom .90 .70 .60 .50 .20 .10 .05 .01
1 .02 .15 .31 .46 1.64 2.71 3.85 6.64
2 .21 .71 1.05 1.39 3.22 4.60 5.99 9.21
3 .58 1.42 1.85 2.37 4.64 6.25 7.82 11.34
4 1.06 2.20 2.78 3.36 5.99 7.78 9.49 13.28

Table 5: Summarization of ƒÓ2 Good Fit Results for F1 Corn Cross
ƒÓ2 value from Table 9.4 =

Value at 3 Degrees of Freedom that is closest to ƒÓ2 value =
What is the Fit Probability at the top of the column in which the value was found?
What is the % of probability that the observed results match the expected results?
(Multiply Fit Probability by 100)
Reading at the top of the Table, this Fit Probability indicates that the expected results hypothesis is a Good Fit Poor Fit
Circle the correct choice above

Discussion:

A. What can be concluded about your prediction of expected F2 progeny phenotypic outcome from the F1 cross? Was it close to the observed outcome?

B. How might the ƒÓ2 test for fitness be used in other ways? Try it on the tobacco seedling F1 cross, for instance.

C. In a typical cross where a parent with a completely dominant trait is mated with a parent exhibiting a completely recessive trait, what is the expected genotypic outcome and allelic frequency for the F1 progeny? Give an example.

D. In a typical cross where hybrid F1 parents are mated, what is the expected genotypic outcome and allelic frequency of the F2 progeny? Give an example.

E. For the F2 progeny produced from a typical F1 hybrid mating, how many totally recessive individuals would be produced if the progeny total population is six offspring? What if the progeny population was 20? 50? 1,000?

F. Excluding factors such as sex-linked genes, incomplete dominance or epistasis, etc., will the above cross results vary if different organisms are used, such as dogs or tulips? Why or why not?

G. How will factors such as sex-linked genes, incomplete dominance, or epistasis, etc., affect the expected outcomes that were investigated above?

what does it mean to have a "good fit" or a "poor fit" for the corn genetics and chi square Analysis lab

D. All the above

Exercise 1: F1 Hybrid Cross

1. To determine the expected phenotypic ratio of green to white progeny, you need to calculate the frequency. The calculation is as follows:
- Total Number of Green Seedlings ÷ Total Number of All Seedlings = Expected Ratio

2. To determine the number of green and white offspring in the F2 generation, you need to use the observed phenotypes from Table 1 and count the number of green and white plants.

Discussion:

A. To determine if the results support or refute the hypothesis, you need to compare the expected and observed results. If they are similar, the results support the hypothesis. If they are different, the results refute the hypothesis.

B. To determine how similar the observed results are to the expected results, you can compare the ratios and frequencies obtained from Table 1 and the expected ratios calculated in step 1.

C. If the results are not similar, the difference can be explained by factors such as genetic variations, environmental factors, or random chance.

D. A monohybrid F1 cross in corn may not yield the same ratio of expected phenotypes as the tobacco seedlings because different organisms may have different patterns of inheritance and genetic traits.

E. Comparing F2 seedling data with classmates can help determine if the outcome ratios are the same. Using a larger number of seedlings to determine this outcome is wise because it reduces the influence of random chance and provides more reliable data.

Exercise 2: Dihybrid Genetic Crosses

1. Based on the genetic makeup of the parent cross (P) between a completely dominant and a completely recessive plant, you need to construct a hypothesis about the genetic makeup and allele frequencies of the F1 and F2 progeny.

2. Record the genotypes and expected frequencies for the P and F1 generations in Table 9.2. Determine which cob contains all ppss kernels.

3. Construct a Punnett Square for the P cross to determine the possible genetic outcomes for the F1 progeny.

4. Using the Punnett Square for F1 Dihybrid Cross (Figure 3), indicate the possible genetic outcomes for the F2 progeny.

Results:

A. The two hypotheses made about the allelic frequencies of progeny produced by the crosses are for P x P and F1 x F1.

B. Based on the phenotype and genotype information for the P cross, determine the corn plant genotype on each cob containing the P corn kernels.

C. The genotype of one parent being PPss and the other being ppSS may make a difference in the outcome of this cross because it involves two different sets of alleles.

D. From the phenotype of the kernels on each P generation cob, you can predict the genotype of any F1 plant.

E. The 2n equation can be used to predict the number of different genetic outcomes possible from an F1 cross resulting in the F2 generation in a dihybrid corn cross.

F. To determine how many F2 seeds would look like the F1 parent, you need to multiply the number of F2 seeds by the expected ratio.

Discussion:

A. To assess how well the predicted results match the actual results in Table 3, compare the observed and expected numbers in Table 3.

B. Based on the Punnett Square predictions, you can conclude whether your hypotheses are supported or rejected.

C. Dihybrid F1 crosses can result in a predictable F2 progeny phenotypic frequency known as Mendelian ratios.

D. If the results are not as expected, differences can be attributed to genetic variations, environmental factors, or random chance.

E. This type of genetic investigation can have applications in various fields such as agriculture, breeding programs, and medical research. The information obtained can be applied to understand the inheritance of specific traits and develop strategies for selective breeding.

Exercise 3: Chi-square and Hypothesis Testing

Results:

The results include Table 4, which shows the observed and expected numbers, ratios, and chi-square values for the F2 progeny phenotypic results. The chi-square value is compared to the chi-square table to determine the fit probability.

Discussion:

A. The conclusion about the prediction of expected F2 progeny phenotypic outcome can be made by comparing the expected and observed outcomes. If they are close, the prediction is accurate.

B. The chi-square test for fitness can be used in other ways by applying it to different crosses, such as the tobacco seedling F1 cross, to assess the fit between the expected and observed results.

C. In a typical cross between a completely dominant and a completely recessive trait, the expected genotypic outcome and allelic frequency for the F1 progeny are known, and examples can be provided.

D. In a typical cross where hybrid F1 parents are mated, the expected genotypic outcome and allelic frequency of the F2 progeny are known, and examples can be provided.

E. To determine the number of totally recessive individuals in the F2 progeny, multiply the progeny population by the expected ratio of totally recessive individuals.

F. Cross results may vary if different organisms are used due to different patterns of inheritance and genetic traits unique to each organism.

G. Factors such as sex-linked genes, incomplete dominance, or epistasis can affect the expected outcomes and may require different calculations or considerations.