The manufacturer of a particular type of battery wants to state that their battery (call it battery A) has a longer mean run time for a fully charged battery than their competitors (call it battery B). In order to make sure the device that is using the battery doesn't account for differences a statistician randomly samples 10 products that are compatible with both batteries and records the mean run time for a fully charged battery for both battery A and battery B. The statistician runs inference tests to determine if there is sufficient evidence that the mean run time of battery A is greater than the mean run time of battery B?

What is the correct set up for the hypotheses to determine if there is sufficient evidence the population mean run time of battery A ( ) is greater than battery B ( )?