Question

Help to calculate the central line?? Also the USL and LSL please!!

A soup company has just started production of a new soup formula. To ensure their process is in good control, they start a control chart looking at retort time, taking 5 observations per subgroup. The data for the first 25 points are shown below. The trial central lines and control limits are provided below the table. The upper and lower specification limits, USL and LSL, are 260 and 250, respectively. Revise the central lines and control limits for the Xbar and R charts as necessary. The necessary constants for the formulas are given below: A = 1.342 D1 = 0 D2 = 4.918 d2= 2.326 Subgroup Number Subgroup Number Xbar R Xbar R - 255.9 4.7 14 254.4 2.8 253.7 7.9 254.7 77 ا ~ 256.0 8.1 253.2 00 ة 256.4 3.1 255.5 00 ة 256.8 252.7 م + 252.7 11.2. 3.5 8.1 256.5 0 م 254.7 = م 255.6 000 3.3 21 254.7 252.0 252.2 253.6 2.1 3.3 256.8 5.0 255.5 5.0 256.2 9.5 2571 3.5 255.8 8.1 255.8 4.0 251.7 2.0 What is the new central line of the R Chart? Answer:

Answer 1

Range control chart specification control lines calculation.

→ - we know that For Range chart (R- Chart) Central line (CH) - Ř Upper control live (UCL) = Duk Lower control line (LL) = BŘ Q & Dy are values at specified sub growns size. Har Subgroup size and = 5 i D = o ; Dy = 2.114 » - Central line (CL - R = = (Sum of all R-values) Number of R valdes Ř - ERI la 4.7+ 7.9 +5.173.17012+ 35+ 8.1 + 33 21450+ 9.5+8.1+ 2.0+28+7.7+8.278.3+ 444 24+ 19 +3.17 3.3 +5.0 +35 +4 ] ~ - (131.2)/25 = 5.246 : 8 - 5.248 ( A CL = 5295 epper control lime (ech) = (2.114 * 5.248) = 11:0942 Laver control line (LCL) = (05.248) = 0 UCL 11.0942 Ř=CL = 5.248 LCL = o