# Testing a hypothesis in 5-steps

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 karats. 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?

I believe there is a 5 step process:

State the hypotheses and identify the claim

Find the critical value(s)

Compute the test value

Make the decision

Summarize the result

https://brainmass.com/statistics/hypothesis-testing/testing-a-hypothesis-260636

#### Solution Preview

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 karats. Do the six measurements present sufficient evidence to indicate that the average weight of ...

#### Solution Summary

This solution discusses hypothesis testing in 5-steps.