424 mproving Process Performance 16 Using the standard table for control chart f
ID: 383380 • Letter: 4
Question
424 mproving Process Performance 16 Using the standard table for control chart factors, the rs, the UCL for the range chart is b) 1.268 c) 1.369 d) 1.544 the LCL for the range chart is e) 1.666 17 Using the standard table for control chart fac b) 1.268 c) 1.369 d) 1.554 e) 0.6 robability of Type ts, and the process is i8 Using 3-sigma control limits compared to 2-sigma control 1 error: When you say there is an assignable cause thou (Type ally stil in statistical control). a) Increases b) Decreases c) Makes no difference to the Type I error probability d) Either a) or b) can result 19 Afer getting the process into statistical control, a range chart was devel 19 After getting LCL = 0 and UCL = 2.50. 'Similarly, an average chart was developed (3. and UCL 24. Five monitoring samples subsequently taken read sgma lii limi 174, 20.1, 26, respectively. What can (3-sigma limits) with LCL follows: sample ranges:. I 2.42, 1.82, 2.04, 2.80, and sample means: 19.5, 22.3, 17.4, 20. 2 management from this analysis? The process variability is out of control but the process average is in a) b) The process average is out of control but the process variability is in co c) Both the process average and the process varlability are out of control, d) We cannot tell from the data provided. control A fimiture manufacturehas collected data on dining tables, noting a total count of 190 paintin s across those 25 tables. He wishes to develop a c-chart. Use the above information to answer the following questions. ount of 190 painting dosiss 20 The recommended center line for the appropriate control chart is c) 7.9 d) 25 21 The lower control limit for the control chart is a) -0.67 b) 0.00Explanation / Answer
Please find answers to question 18, 19 and 20.( Question 16 and 17 cannot be answered without the data range which is missing ):
Answer to question 18:
A type I error occurs when one rejects the null hypothesis when it is true. The probability of a type I error is the level of significance of the test of hypothesis, and is denoted by *alpha*. Usually a one-tailed test of hypothesis is used when one talks about type I error.
ANSWER : C) MAKES NO DIFFERENCE TO TYPE I ERROR PROBABILITY
Answer to question 19 :
The Range value 2.8 is beyond Upper Control Limit of 2.5 and thus process variability is out of control
The sample mean 26 is beyond upper control limit of 24 and hence process average is out of control
Hence, both process variability and process average are out of control.
ANSWER: C) BOTH PROCESS VARIABILITY AND PROCESS AVERAGE ARE OUT OF CONTROL
Answer to Q.20:
Number of painting defects = 190
Number of tables = 25
Hence, average number of defects per table = Cbar = 190/25 = 7.6
Center line for the appropriate control chart is 7.6
THE RECOMMENDED CENTERLINE FOR APPROPRIATE CONTROL CHART IS 7.6
ANSWER : C) MAKES NO DIFFERENCE TO TYPE I ERROR PROBABILITY
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