l (q1-q3) Product filling weights are normally distributed with a mean of 300 gr
ID: 3231061 • Letter: L
Question
l (q1-q3) Product filling weights are normally distributed with a mean of 300 grams and a standard deviation of 10 grams. A sample of size 6 is taken from the process. 1. Which is the standard deviation of the sample? D) 10 B) 30 C) 4.08 A) 2.45 2. Which are the control limits for the t chart of the process? D) 276.23 324.78 A) 287.76 312.24 B) 290 310 C) 295 305 3. For the sample below, the process is 323 298 334 294 312 287 B) Out of control A) In control ll. (q4-q5). A process sampled 10 times with a sample of size 6 resulted in x 22.6 and R-1.3 4. The upper and lower control limits for x chart are: A) 19.8-24.7 B) 21.97 23.22 C) 20.23 21.65 D) 24. 27.8 5. The upper and lower control limits for R chart are: A) 0.56 3.4 B) 0 2.004 C) 0.23-1.56 D) 0-2.6Explanation / Answer
1)
Std. deviation = 10
2)
Control limits
Upper control limit = x bar + A2 * r bar
= 300 + 0.483 * 10
= 304.83 = 305
Lower control limit = x bar - A2 * r bar
= 300 - 0.483 * 10
= 295.17 = 295
Answer is option C)
4)
Upper control limit = x bar + A2 * r bar
= 22.6 + 0.483 * 1.3
= 23.22
Lower control limit = x bar - A2 * r bar
= 22.6 - 0.483 * 1.3
= 21.97
Answer is option B)
5)
Upper control limit = D4 * R bar
= 2.004 * 1.3
= 2.6052
Lower Control Limit = D3 * R bar
= 0
Answer is option D)
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