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?

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? To answer this question conduct an appropriate test of hypothesis using the five step process outlined in our textbook and utilized in the solutions to the Chapter8 review problems, which can be accessed via the link in the Assignments, Tests Quizzes sub-section in the weekly lesson that can be found in the Lessons section of our classroom.I will evaluate your responses to each of these questions using a 0 to 10 point scale, and your contribution to each of the Discussion Forums will count as 1.25 percent of the overall course grade for a total of 10 percent.My evaluation of your post will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. Naturally, simply copying someone else’s post is prohibited. Your post should reflect your understanding of the question posed. In addition tothe computations you employed to arrive at your response, your post must contain comments regarding the rationale for the approach you utilized. Simply listing an answer is of no real value in promoting a discussion.