Question
A dog manufacturer must monitor the grams of fat contained in a food item. When the...
A dog manufacturer must monitor the grams of fat contained in a food item. When the manufacturing process is in control, the grams of fat in the food form a normal population with a mean of 22.1 grams and a standard deviation of 0.7 of a gram. Compute the upper and lower control limits of an x-bar chart for 40 samples of size 8.
Homework Answers
Answer #1
Solution:
Upper and Lower control limits for Xbar chart can be calculated
as
Here no. of sample size = 8
LCL = Mean - 3*
/sqrt(n)
UCL= Mean +3*/sqrt(n)
Also Mean = 22.1 Grams
Standard deviation = 0.7 Grams
LCL = 22.1 - 3*0.7/sqrt(8) = 22.1 - 0.74 = 21.36
UCL = 22.1 + 3*0.7/sqrt(8) = 22.1 + 0.74 = 22.84
So Upper and Lower control limit of an x bar chart is 22.84 grams
and 21.36 grams.
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