Chapter 15 Statistical Quality Control

Table 15-1

Sample
Size
n

Mean
Factor
A2

Upper
Range
D4

Lower
Range
D3

2

1.880

3.628

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.114

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

30) Refer to Table 15-1. Bags of chocolate
candy are sampled to ensure proper weight. The overall average for the samples
is 36 ounces. Each sample contains twelve bags. The average range is 1.3
ounces. The upper control chart limit for the sample averages would be
A) 36.3458.
B) 35.6542.
C) 38.3101.
D) 36.6279.
E) 37.1258.

31) Refer to Table 15-1. Bags of chocolate
candy are sampled to ensure proper weight. The overall average for the samples
is 36 ounces. Each sample contains eight bags. The average range is 1.3 ounces.
The lower control chart limit for the sample averages would be
A) 36.3730.
B) 36.4849.
C) 35.6270.
D) 35.5150.
E) None of the above

32) Refer to Table 15-1. To guarantee that
cans of soup are properly filled, some cans are sampled and the amounts
measured. The overall average for the samples is 12 ounces. Each sample
contains 10 cans. The average range is 0.4 ounces. The upper control chart
limit for the sample averages would be
A) 12.1232.
B) 11.8768.
C) 13.2.
D) 12.308.
E) None of the above

33) Refer to Table 15-1. To guarantee that
cans of soda are properly filled, some cans are sampled and the amounts
measured. The overall average for the samples is 12 ounces. Each sample
contains 10 cans. The average range is 0.4 ounces. The lower control chart
limit for the sample averages would be
A) 12.1232.
B) 11.8768.
C) 13.2.
D) 12.308.
E) None of the above

34) Refer to Table 15-1. Bags of tea are
sampled to ensure proper weight. The overall average for the samples is 8
ounces. Each sample contains 10 bags. The average range is 0.1 ounces. What is
the lower limit of the sample averages chart?
A) 7.9692
B) 8.0308
C) 7.9076
D) 8.0924
E) None of the above

35) Refer to Table 15-1. The Pristine
Paint Company produces paint in gallon cans. They have found that in more than
10 samples of 8 cans each, the average gallon can contains 1.1 gallons of
paint. The average range found over these samples is 0.15 gallons. What is the
upper control limit for the sample averages in this process?
A) 1.100
B) 1.150
C) 1.268
D) 1.156
E) None of the above

36) Refer to Table 15-1. The average range
of a process for packaging cereal is 1.1 ounces. If the sample size is 10, find
the upper control chart limit for the range chart.
A) 0.245
B) 1.955
C) 1.777
D) 0.223
E) None of the above

37) Refer to Table 15-1. The average range
of a process for packaging cereal is 1.1 ounces. If the sample size is 10, find
the lower control chart limit for the range chart.
A) 0.245
B) 1.955
C) 1.777
D) 0.223
E) None of the above

38) The U.S. government award for quality
achievement is the
A) Deming Prize.
B) Shewhart Symbol of Excellence.
C) Malcolm Baldrige National Quality
Award.
D) Bush Award for Quality Management.
E) Six Sigma Certification.
39) The p-chart would be useful
when we
A) took a number of measurements and
computed the average.
B) took a number of measurements and
computed the ranges.
C) found the fraction of the production
lot defective.
D) found the number of defective items in
a production lot.
E) None of the above

40) A p-chart is based on which of
the following probability distributions?
A) Poisson
B) Binomial
C) Uniform
D) Exponential
E) Gamma

41) A c-chart is based on which of
the following probability distributions?
A) Poisson
B) Binomial
C) Uniform
D) Exponential
E) Gamma

42) Which of the following statements is
FALSE regarding control charts?
A) X-bar charts measure central tendency
in a process.
B) R-charts measure the variability
of a process.
C) It is not possible to have a LCL below
0 in a c-chart.
D) It is not possible to have a UCL value
above 1 in a p-chart.
E) The nominal line is always the midpoint
between the UCL and LCL.