Question

The target for a process is 30 mm. You replaced a vital piece of equipment and must ensure that the process is still on target. If the process mean is within 1 mm of the target, the process performance is considered acceptable. Which statistical test would you conduct to determine whether the performance is acceptable?

Answer 1

To determine whether the process performance is acceptable, you would conduct a one-sample t-test comparing the process mean to the target mean of 30 mm.

Step-by-step explanation:

To determine whether the process performance is acceptable, you would conduct a hypothesis test. Specifically, you would use the one-sample t-test to compare the process mean to the target mean of 30 mm. The null hypothesis would be that the process mean is equal to 30 mm, and the alternative hypothesis would be that the process mean is different from 30 mm.

You would collect a sample of measurements from the process and calculate the sample mean. Then, you would use the t-test to determine the probability of obtaining the observed sample mean if the null hypothesis is true.

If the probability (p-value) is less than the significance level (e.g., 0.05), you would reject the null hypothesis and conclude that the process performance is not acceptable.