Concept:
The boiling point of hydrides depends on molecular weight (Van der Waals forces) and the presence of intermolecular hydrogen bonding. Generally, boiling point increases down a group with increasing size, unless hydrogen bonding is present.
Step 1: {Evaluate the effect of Hydrogen bonding.}
Ammonia (NH$_3$) contains highly electronegative Nitrogen, allowing it to form strong intermolecular hydrogen bonds. This gives it a significantly higher boiling point than its heavier neighbor, PH$_3$.
Step 2: {Analyze the trend for other Group 15 hydrides.}
From PH$_3$ to BiH$_3$, the molecular size and mass increase. This leads to stronger Van der Waals (London dispersion) forces, which progressively increases the boiling point:
$$\text{PH}_3 < \text{AsH}_3 < \text{SbH}_3 < \text{BiH}_3$$
Step 3: {Compare NH$_3$ and PH$_3$.}
While NH$_3$ has a high boiling point due to hydrogen bonding, PH$_3$ lacks hydrogen bonding and has the lowest molecular weight among the remaining hydrides. Consequently, PH$_3$ has the lowest boiling point in the series.