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A process is using the following approach to monitor its performance. 1. The ins

ID: 3052594 • Letter: A

Question

A process is using the following approach to monitor its performance. 1. The inspector takes a random sample (with 5 observations) every 20 minutes. 2. The average of these 5 observations will be calculated and t test will be performed to determine if the process is centered at 96 psi (the desired target of the process). 3. If the sample average is greater than 100 psi, the process will be stopped for adjustment. Question 1 - On a given day, the inspector collected the following five samples: 102, 103.6, 100, 96 and 95. Do you think the process is still centered at 96 psi? Why? Question 2 - If the process center is shifted to 98 psi (no one Knows this happened in the operation area), what is the probability that the shift will be detected by the next two samples (i.e. the process will be stopped for adjustment)? Use alpha=0.05 for all hypothesis. solve it by excel or minitab

Explanation / Answer

1) using minitab

One-Sample T: C1

Test of = 96 vs 96


Variable N   Mean StDev SE Mean       95% CI         T      P
C1        5 99.32   3.73     1.67 (94.69, 103.95)    1.99    0.117

since p-value = 0.117 > 0.05

we fail to reject the null hypothesis hence we conclude that process is not still centered at 96 psi.

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