After a wash cycle, I noticed that water still remains in the machine. You amount is not sufficient to be seen by looking in the tub but if you shake the tub or the machine you can hear it splashing. Can anyone help? I have checked the hose for obstruction and it is clear.
There is typically a float level switch to handle this.
The float level switch protects the pump from cavitating (running dry and burning up) - basically when the water reaches a certain low point the switch opens and the pump stops.
You specify Kenmore Washer - a sears brand - you can search the internet float level switch for your model and usually a parts diagram will be available to allow you to see what and where it is in your machine. That way you can check to see if it is functioning properly.
It's normal for the water to be pumped out to below the tub, but a bit of water left in the machine. As Ken mentioned, this keeps the pump from running dry and damaging the pump. If you move the machine, just be aware of this and keep the drain hose up or hold a bucket under it when you lower the hose to catch the runoff.