Final Answer:
The narrow-sense heritability for fruit weight in this orchard is approximately 0.84.
Step-by-step explanation:
Narrow-sense heritability estimates the proportion of phenotypic variation attributable to genetic factors that are directly transmitted from parent to offspring. We can calculate it using the following formula:
Narrow-sense heritability = (Phenotypic variance of parents - Phenotypic variance of offspring) / Phenotypic variance of parents
Here, we need to calculate the phenotypic variances for the parent and offspring generations:
Parent phenotypic variance: (45 g - 30 g)^2 = 225 g^2
Offspring phenotypic variance: (36 g - 30 g)^2 = 36 g^2
Now, we can plug these values into the formula:
Narrow-sense heritability = (225 g^2 - 36 g^2) / 225 g^2 = 0.84
Therefore, approximately 84% of the variation in fruit weight in this orchard can be attributed to genetic factors directly inherited from the parents. This indicates that the selected parents successfully passed on their genes for heavier fruit, but other environmental factors may also have influenced the average fruit weight in the next generation.