Final answer:
The broad-sense heritability for seed number in the population is estimated to be approximately 37.27%, calculated using the genetic variance of 8.2 and the phenotypic variance of 22.
Step-by-step explanation:
To calculate the broad-sense heritability (H2) for seed number in this population, we use the following formula:
H2 = VG / VP
where VG is the genetic variance and VP is the phenotypic variance. The phenotypic variance is the initial variance observed in the natural population, so VP = 22. The genetic variance VG is estimated by the variance within the true-breeding lines after 15 generations of self-fertilization, which is 8.2.
Thus, the broad-sense heritability is:
H2 = 8.2 / 22
H2 = 0.3727 or 37.27%
The broad-sense heritability of seed number in this population is therefore estimated to be approximately 37.27%.