A country estate has two lakes, stocked with rainbow trout, that are open to the public for commercial fishing. They claim that both lakes have the same quality (in terms of weight) of fish. The records for one week show that 50 fish with a mean weight of 1.5 lb and a sample standard deviation of 0.3 lb were caught in lake A, and that 60 fish with a mean weight of 1.8 lb and a sample standard deviation of 0.2 lb were caught in lake B. Does this data support the claim made by the estate?