Temperature is used to measure the output of a production process. When the proc

Question

Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is mu = 128.5 and the standard deviation is sigma = A. a. Construct an X chart if samples of size 6 are to be used (to 2 decimals}. UCL = LCL = b. Is the process in control for a sample providing the following data? 128.8 128.2 129.1 128.7 128.4 129.2 Conclude that the process in control. c. Is the process in control for the following data? Conclude that the process in control.

Explanation / Answer

a ans)

given mean = 128.5 standard devaition s.d =0.4 n= sample size 6

UCL = mean +3 Q/ sqrt n = 128.5 + 3 * 0.4 /sqrt 6 = 128.9899

LCL = mean - 3   Q/ sqrt n = 128.5 - 3 * 0. 4/ sqrt 6 = 128.0101

A process is said to be out-of control, if any of sample points fall beyond the control limits (below the LCLor above the UCL)

.Is the process in control for a sample providing the following data?

(128.8 +128.2 +129.11+ 28.7+ 128.4 +129.2 )/ 6 = 127.33

Since in the above sample, one point (129.2) is above the UCL and no point is below LCL (lessthan 127.3), the process is said to be out-of-control

x= 127.333

.C.) Is the process in control for a sample providing the following data?

(129.3 +128.7 +128.6 6 129.2 +129.5 + 129.0) / 6 =129.05

Since in the above sample, four points (129, 129.2, 129.3, 129.5) are above the UCL and nopoint is below LCL (less than 127.3), the process is said to be out-of-control

x= 129.05

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.