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- How are the standard deviation and variance related to each other?
- How are they different than just measuring the range?
- Can plot samples of dandelion cover from two different locations have the same mean but different variance? Explain.
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- What does P-value indicate? In statistical analysis the results for two sets of data are presented with P < 0.01 and P<0.005. What does it mean?Describe in your own words what variance measures. Then explain why the variance of both samples must be used in the calculation of a t-test (In other words, explain why we have to factor in the variance when comparing the means).Example 3.5.7 Fish Vertebrae Consider the distribution of vertebrae given in Table 3.5.1. In Exam- ple 3.5.5 we found that the mean of Y is µy = 21.49. The variance of Y is VAR(Y) = of = (20 – 21.49) x Pr{Y = 20} 21) %3D + (21 – 21.49)? x Pr{Y + (22 – 21.49)? x Pr{Y = 22} + (23 – 21.49) x Pr{Y = 23} = (-1.49) x 0.03 + (-.49) x 0.51 + (0.51) x 0.40 + (1.51)² × 0.06 = 2.2201 x 0.03 + .2401 x 0.51 + .2601 x 0.40 + 2.2801 x 0.06 = 0.066603 + 0.122451 + 0.10404 + 0.136806 = 0.4299. The standard deviation of Y is ay = V0.4299 - 0.6557. %3D
- Calculate the Variance of the following data set: 10, 15, 13, 12, 14The mean, standard deviation, variances, and coefficient of variance of plant height from two rice plants (P1 and P2) and their progeny (F1 and F2) and a backcross generation (P1 x F1) are shown below. Explain the possible reasons for the observed differences in the sample means. Account for the differences in the sample means of P1 and P2. Similarly, account for the differences in the sample means of the F1 and F2. Compare the difference in the parental generations with that in the filial generations.You perform a chi-square test to compare observed and expected values and obtain a chi-square value of 9.4 with 3 degrees of freedom. What do you conclude? it is not likely that the difference between observed and expected values is due to random chance, since p>0.05 it is impossible to conclude anything from this information it is likely that the difference between observed and expected values is due to random chance, since p>0.05 it is likely that the difference between observed and expected values is due to random chance, since p<0.05 the experiment was done incorrectly and must be repeated it is not likely that the difference between observed and expected values is due to random chance, since p<0.05
- A characteristic has a narrow-sense heritability of 0.6.a. If the dominance variance (VD) increases and all other variancecomponents remain the same, what will happen to narrow-senseheritability? Will it increase, decrease, or remain the same? Explain.b. What will happen to broad-sense heritability? Explain.c. If the environmental variance (VE) increases and all other variancecomponents remain the same, what will happen to narrow-senseheritability? Explain.d. What will happen to broad-sense heritability? Explain.What does the likelihood ratio mean?A characteristic has a narrow-sense heritability of 0.6. a. If the dominance variance (VD) increases and all other variance components remain the same, what will happen to narrow-sense heritability? Will it increase, decrease, or remain the same? Explain. b. What will happen to broad-sense heritability? Explain. c. If the environmental variance (VE) increases and all other variance components remain the same, what will happen to narrow-sense heritability? Explain.
- The phenotypic data below are the shoot lengths of 25 F1 and 25 F2 rice plants at seedling stage, produced from the cross of IR29 and Hasawi rice varieties. The mean lengths of the shoot from IR29 and Hasawi are 23.1 cm and 46.7 cm, respectively. Tabulate and plot the frequency distributions of the F1 and F2 generations. Use the formulas below in the computations. From each distribution calculate the mean, the variance, and the standard error of the mean. Round off answers to two decimal places. What is the main difference between F1 and F2 distributions?Hardy-Weinberg Problems Please be sure to SHOW ALL WORK in order to get credit. This assignment will be graded for accuracy. *Hint: Remember what p and q represent. Determine first if I am asking for allele frequency or genotype/phenotype frequency. Then determine which equation is appropriate. What does p and q represent in the equations? Which equation do you use if I am asking for allele frequency? If the frequency of the recessive allele is 0.1, what is the frequency of the dominant allele? If the frequency of the dominant allele is 0.4, what is the frequency of the recessive allele? If the frequency of the dominant allele is 0.6, what is the frequency of the homozygous dominant genotype? If the frequency of the homozygous recessive genotype is 0.81, what is the frequency of the recessive allele? If the frequency of the homozygous dominant genotype is 0.25, what is the frequency of the dominant allele? If the frequency of the…What is the mathematical expression for the genetic equilibrium for genes with two alleles? Is this statistical distribution the same as the statistical distribution of the respective phenotypes?