The narrow-sense heritability h2 = 0.79
So, h2 < 1.0.
If h2 = 1, (Va = Vx) then the expected value for the offspring will be almost mid-parent value and total variance will be additive, which are heritable.
In this case, the narrow-sense heritability is closer to the population mean as h2 is 0.79
The expected value of the mean bill depth can be calculated as follows:
Male deviation = bill depth of the selected male – the mean bill depth of population
= 10.8 – 9.6 = 1.2
Female deviation = bill depth of selected female – the mean bill depth of population
= 9.8-9.6 = 0.2
Mean deviation = 1.2 + 0.2 /2 = 0.7
The mean deviation of the bill depth = 0.7. (If h2 = 1.0)
As h2 = 0.79, this will become 0.79 × 0.7 = 0.55
Hence, the expected mean for the offspring this selected pair = the mean bill depth of the population + the deviation from the population mean = 9.6+0.55= 10.15.