$($b$)$ Using the following data on the Observations $10,13,4,$ and $20,$ confirm that the complete linkage distance between the cluster containing $\{10,13\}$ and

the cluster containing $\{4,20\}$ is $2\mathrm{.}577$ units as displayed in the dendrogram.

If required, round your answers to three decimal places. Do not round intermediate calculations.

Distance from Observation $10$ and Observation $4$:

Distance from Observation $10$ and Observation $20$:

Distance from Observation $13$ and Observation $4$:

Distance from Observation $13$ and Observation $20$: