Question

Problem 3 Question Help The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 42 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 7 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams Click the icon to view the table of factors for calculating three-sigma limits for the i-chart and R-chart. a. Design an R- and an x-chart for this process. The UCLR gquals□grams and the LCLRequals grams. (Enter your response ruded to two de mal places)

Answer 1

Solution:

For X-Chart control Limits:

UCL=x+A2 * R

$LCL = \bar{\bar{x}} - A2*\bar{R}$

Hence,

UCLi-42 + 0.419 * 7 44.93


LCLi = 42-0.419 * 7 39.07

For R-Charts:

$UCL_{\bar{R}} = D4*\bar{R}$
$LCL_{\bar{R}} = D3*\bar{R}$

Hence,

UCLR-1.924 7 13.47


LCLR-0.076 * 7 0.53