An X-ray inspection apparatus (10) is equipped with an X-ray irradiator (13), an X-ray line sensor (14), an image generating component (21a), a region identifying component (21b), a weight estimating component (2 1 c) and a weight determining component (2 1 d) and inspects a chain of connected packages (M) including a plurality of bags (N1, N2, ..., N6) that are connected in a chain. The X-ray irradiator (13) irradiates the chain of connected packages (M) with X-rays. The X-ray line sensor (14) receives the X-rays from the X-ray irradiator (13). The image generating component (21a) generates an X-ray image (P) on the basis of the X-rays that the X-ray line sensor (14) has received. The region identifying component (21b) identifies discrete package regions (C1, C2, ..., C6) from the X-ray image (P). The weight estimating component (21c) estimates weight values with respect to the discrete package regions (C1, C2, ..., C6). The weight determining component (21d) determines the chain of connected packages (M) as being abnormal in weight when any of the weight values falls outside a predetermined range.