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 Chapter 8 review problems.

I think these are the correct steps:

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Basic Components of a Statistical Test (ch 8, p 435)

1.Define the null hypothesis and the alternate hypothesis, determine what sample distribution we should use.

2.Find the critical values and determine the level of significance.

3.Compute the sample tests statistic using the appropriate sampling distributing method.

4.Compare the computed sample test statistic (step 3) with the critical values.

5.Interpret the decision