A new process for producing synthetic diamonds can be operated at a
profitable level only if the average weight of the diamonds produced by
the process is greater than 0.5 karat. To evaluate the profitability of
the process, a sample of six diamonds was generated using this new
process, with recorded weights .46, .61, .52, .48, .57, and .54 karat.
Do the six measurements present sufficient evidence to indicate that the
average weight of the diamonds produced by the new process is in excess
of 0.5 karat?