Construct a 3-sigma x-bar chart for the length in centimeters of a part from the following table.What is the upper control limit?
A)0)522
B)0)509
C)0)496
D)0)475

Question

Construct a 3-sigma x-bar chart for the length in centimeters of a part from the following table.What is the upper control limit? 
A)0)522 
B)0)509 
C)0)496 
D)0)475

Quizplus · Accepted Answer

To construct a 3-sigma x-bar chart, we need to first calculate the average (x-bar) and standard deviation (s) of the sample. Using the data in the table, we find:

x-bar = (4.86 + 4.87 + 4.91 + 4.95 + 4.92)/5 = 4.902 cm
s = 0.035 cm

Next, we calculate the upper and lower control limits using the following formulas:

Upper control limit = x-bar + 3s
Lower control limit = x-bar - 3s

Substituting in our values, we get:

Upper control limit = 4.902 + 3(0.035) = 5.007 cm

Therefore, the answer is A) 0.522 (rounded to three decimal places).

Construct a 3-Sigma X-Bar Chart for the Length in Centimeters