chapter 3

19.Variable control charts are used for quantitative measures such as weight or time.

Ans: True, LO: 4, Bloom: K, Difficulty: Moderate, AACSB: None

22.The range measures the variation within samples versus the variation between samples.

Ans: True, LO: 4, Bloom: K, Difficulty: Moderate, AACSB: None

6.A process that is determined to be in control contains no variation.

Ans: False, LO: 1, Bloom: K, Difficulty: Easy, AACSB: None

7.Common cause (random) variation provides evidence that the process is not in control.

Ans: False, LO: 1, Bloom: K, Difficulty: Easy, AACSB: None

a. 102. A company produces a product which is designed to weigh 10 oz., with a tolerance of + 0.5 oz. The process produces products with an average weight of 9.95 oz. and a standard deviation of 0.10 oz. The process capability ratio for this process is a. 1.67 b. 0 c. 0.8333 d. -1.67

a

. If a sample of 40units of output found 500 defects, then the 3-sigma upper control limit for the chart would be a. 12.50 b. 23.11 c. 37.50 d. 75.00

b

101. For the process to be capable of meeting design specification the process capability index must be a. less than one (1.0) b. equal to or greater than one (1.0) c. less than zero (0.0) d. equal to or greater than zero (0.0)

b

. A company randomly selects 100 light bulbs every day for 40 days from its production process. If 600 defective light bulbs are found in the sampled bulbs then the estimate for the average percent defective would be a. 6.667 b. 0.167 c. 0.150 d. 0.250

c

44. A variable measure is a product characteristic such as a. color. b. smooth. c. temperature d. tastes good

c

47. Which of the following is not a primary purpose of statistical process control? a. to establish control limits b. to detect special cause variations c. to identify specification limits d. to determine when a process is not in control

c

52. The basic purpose of control charts include(s) a. establishing control limits for a process. b. monitoring the process to indicate when it is out of control. c. both establishing control limits for a process and monitoring the process to indicate when it is out of control are basic purposes. d. None of these answer choices is correct

c

A process is generally considered to be in control when a. there are no sample points outside the control limits b. most points are near the center line, without many being close to the control limits c. sample points are randomly distributed equally above and below the center line d. All of these answer choices are correct

d

Which of the following control charts are often based on sample sizes equal to or larger than one hundred? a. x b. R c. c d. p

d

Which of the following control charts is used to monitor the percent of defective items within a sample? a. x b. R c. c d. p

d

33.Tolerances reflect the amount of common cause variation allowed in a process.

Ans: False, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

20.Construction and use of an -chart is based on an assumption that the sample points are normally distributed around the centerline.

Ans: True, LO: 4, Bloom: K, Difficulty: Hard, AACSB: None

18.An x-bar and R-chart constructed to monitor and control a process use the same raw data.

Ans: True, LO: 4, Bloom: K, Difficulty: Moderate, AACSB: None

12.A variable measure classifies while an attribute measure quantifies.

Ans: False, LO: 2, Bloom: K, Difficulty: Moderate, AACSB: None

24.One advantage of using a pattern test is that special cause variations may be identified before any points are plotted outside the control limits.

Ans: True, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

25.A pattern test can identify an out-of-control process even if all sample points are within control limits.

Ans: True, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

27.If the points plotted on a control chart display a pattern, it is called a run.

Ans: True, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

28.When constructing a control chart for the first time, all points should be within the control limits indicating the process is in control.

Ans: True, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

29.Process control charts are often used at a critical point after which it is difficult to correct or rework the process output.

Ans: True, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

31.The popularity of Excel and other data analysis software has been a major factor in the increased use of statistical process control.

Ans: True, LO: 6, Bloom: K, Difficulty: Moderate, AACSB: None

36.All processes contain a certain amount of variation in their output.

Ans: True, LO: 7, Bloom: K, Difficulty: Easy, AACSB: None

37.A sequence of sample points that display a pattern is known as a run.

Ans: True, LO: 7, Bloom: K, Difficulty: Easy, AACSB: None

32.Tolerances or specification limits are allowable variation prescribed in a product design.

Ans: True, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

35.A process capability ratio greater than one shows that a process is capable of producing output within its specification limits.

Ans: True, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

38.Statistical process control can prevent poor quality before it occurs if a pattern is evident in the plotted points.

Ans: True, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

39.The process capability index indicates how much a process mean differs from the target specification value.

Ans: True, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

15.Attribute control charts are used to monitor descriptive characteristics of the output of a process rather than measurable characteristics.

Ans: True, LO:3, Bloom: K, Difficulty: Easy, AACSB: None

51. Which of the following statements concerning control chart limits is true? a. the smaller the value of z, the more narrow the control limits are and the more sensitive the chart is to changes in the production process b. the larger the value of z, the more narrow the control limits are and the more sensitive the chart is to changes in the production process c. the smaller the value of z, the wider the control limits are and the less sensitive the chart is to changes in the production process d. the larger the value of z, the more narrow the control limits are and the less sensitive the chart is to changes in the production process

a

66. Consider a production process that produces batteries. A quality engineer has taken 20 samples each containing 100 batteries. The total number of defective batteries observed over the 20 samples is 200. The sample standard deviation is a. 0.03 b. 0.04 c. 0.05 d. 0.10

a

76. Easy Tax is a service company that prepares tax returns. An outside auditor has examined 20 samples each containing one completed tax return. The total number of defects observed over the 20 samples is 200. The UCL for the control chart constructed using three sigma is a. 19.6 b. 26.7 c. 33.5 d. 50.0

a

A company produces a product which is designed to weigh 10 oz., with a tolerance of + 0.5 oz. The process produces products with an average weight of 9.95 oz. and a standard deviation of 0.10 oz. According to the process capability index a. the process mean is off center having shifted to the right b. the process mean is off center having shifted to the left c. the process mean is centered on the design target d. None of these answer choices is correct.

a

A company produces a product which is designed to weigh 10 oz., with a tolerance of + 0.5 oz. The process produces products with an average weight of 9.95 oz. and a standard deviation of 0.10 oz. The process capability index for this process is a. 1.50 b. -1.50 c. 1.83 d. -1.83

a

XYZ manufacturing has received an order to produce a rod 5 inches in diameter + .04 inch. In sample runs, the machine tool that will be making the rod has been able to produce rods with a mean diameter of 4.99 inches and a standard deviation of 0.011 inch. The process capability index for this process is a. 0.91 b. 1.51 c. -0.91 d. -1.51

a

106. XYZ manufacturing has received an order to produce a rod 5 inches in diameter + .04 inch. In sample runs, the machine tool that will be making the rod has been able to produce rods with a mean diameter of 4.99 inches and a standard deviation of 0.011 inch. The process capability ratio for this process is a. -1.44 b. -1.21 c. 1.21 d. 1.44

c

108. XYZ manufacturing has received an order to produce a rod 5 inches in diameter + .04 inch. In sample runs, the machine tool that will be making the rod has been able to produce rods with a mean diameter of 4.99 inches and a standard deviation of 0.011 inch. Which of the following statements is true? a. The process is capable of meeting design spec but is off-center. b. The process is capable of meeting design specs and is on-center. c. The process in incapable of meeting design specs.

c

A company produces a product which is designed to weigh 10 oz., with a tolerance of + 0.5 oz. The process produces products with an average weight of 9.95 oz. and a standard deviation of 0.10 oz. According to the process capability ratio is the process capable of meeting design specifications? a. No, the process capability ratio is less than 1.0 b. Yes, the process capability ratio is less than 1.0 c. No, the process capability ratio is greater than 1.0 d. Yes, the process capability ratio is greater than 1.0

d

2.Statistical process control is based on a philosophy of inspection as opposed to prevention.

Ans: False, LO: 1, Bloom: K, Difficulty: Moderate, AACSB: None

5.Control limits are based on the special cause (nonrandom) variation inherent in a process.

Ans: False, LO: 1, Bloom: K, Difficulty: Moderate, AACSB: None

10.When a control chart detects no special cause (nonrandom) variation in a process, the upper and lower control limits are the same value.

Ans: False, LO: 2, Bloom: K, Difficulty: Hard, AACSB: None

16.The formula used to determine the upper and lower control limits are based on product specification limits.

Ans: False, LO: 4, Bloom: K, Difficulty: Easy, AACSB: None

26.A control chart is in control when the plot of the sample points exhibits a pattern.

Ans: False, LO: 5, Bloom: K, Difficulty: Moderate, AACSB: None

34.For a given process, the process capability ratio is not related to its specification limits.

Ans: False, LO: 7, Bloom: K, Difficulty: Moderate, AACSB: None

3.One goal of statistical process control is to prevent a process from producing items that have to be scrapped or reworked

Ans: True, LO: 1, Bloom: K, Difficulty: Easy, AACSB: None

4.Two types of variation associated with the output of a process are common cause (random) and special cause (nonrandom).

Ans: True, LO: 1, Bloom: K, Difficulty: Easy, AACSB: None

1.Statistical process control involves monitoring and controlling a process to prevent poor quality.

Ans: True, LO: 1, Bloom: K, Difficulty: Easy, AACSB: None,

8.After special cause variation is detected, the focus changes to identifying the root cause of the variation and eliminating it.

Ans: True, LO: 1, Bloom: K, Difficulty: Hard, AACSB: None

11.It is sometimes not necessary to determine new control limits after special cause (nonrandom) variation has been identified if the source has been eliminated without changing the process.

Ans: True, LO: 2, Bloom: K, Difficulty: Hard, AACSB: None

9.Process control is achieved by taking periodic samples from a process and plotting the sample points on a chart to determine if the process is within control limits.

Ans: True, LO: 2, Bloom: K, Difficulty: Moderate, AACSB: None

13.With a c-chart, the sample size is small and may contain only one item.

Ans: True, LO: 3, Bloom: K, Difficulty: Easy, AACSB: None

14.A p-chart is used to monitor the proportion defective in the output of a process.

Ans: True, LO: 3, Bloom: K, Difficulty: Easy, AACSB: None

17.Variable control charts are used to monitor measurable characteristics of a process's outputs rather than descriptive characteristics.

Ans: True, LO: 4, Bloom: K, Difficulty: Easy, AACSB: None

21.The range is the difference between the smallest and largest values in a sample.

Ans: True, LO: 4, Bloom: K, Difficulty: Easy, AACSB: None

23.It is possible to have low variation within samples while at the same time having high variation between sample means.

Ans: True, LO: 4, Bloom: K, Difficulty: Moderate, AACSB: None

30.Control charts visually show when a process is not within statistical control limits.

Ans: True, LO: 5, Bloom: K, Difficulty: Easy, AACSB: None

If a sample of 40 units of output found 500 defects, then the center line for monitoring the average number of defects per unit of output would be a. = 40 b. = 0.08 c. = 12.5 d. = 20,000

c

Which of the following control charts are based on sample sizes as small as one? a. x b. R c. c d. p

c

Which of the following control charts is based on the number of defects within a sample? a. x b. R c. c d. p

c

42. Common (random) variation of a process depends on all the following except a. errors due to lack of training. b. the equipment and machinery used. c. the operator. d. system used for measurement.

a

46. Control charts are typically used at the ___________ of a process. a. beginning. b. middle. c. end. d. All these answer choices are correct.

a

83. Which of the following control charts is used to control the variation within samples? a. x chart b. R chart c. c-chart d. p-chart

a

88. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6 energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, the UCL for an R-chart of this process would be a. 0.0 b. 1.0 c. 1.7 d. 2.4

a

96. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an R-chart from this data, the 3-sigma UCL would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 6.42 b. 5.87 c. 5.63 d. 5.01

a

40. If a sample point plotted on a control chart is outside the control limits a. the evidence indicates the process is in control. b. the evidence indicates the process is out of control. c. the evidence is inconclusive. d. None of these answer choices is correct.

b

43. An attribute measure is a product characteristic such a. weight. b. color. c. length. d. time

b

48. Four common types of control charts include all of the following except: a. -chart b. t-chart c. p-chart d. c-chart

b

50. Special cause (nonrandom) variation in a process is more likely to be detected with a. wider control limits b. narrow control limits c. wider specification limits d. narrow specification limits

b

68. Consider a production process that produces batteries. A quality engineer has taken 20 samples each containing 100 batteries. The total number of defective batteries observed over the 20 samples is 200. The LCL for the control chat constructed using two sigma is a. 0.01 b. 0.04 c. 0. 12 d. 0.16

b

69. Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 200 tires. The total number of defective tires over the 15 samples is 340. The centerline for the control chart is a. 0.08 b. 0.11 c. 0.16 d. 0.21

b

72. Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 200 tires. The total number of defective tires over the 15 samples is 340. The LCL for the control chat constructed using two sigma is e. 0.022 f. 0.036 g. 0.048 h. 0.066

b

73. Easy Tax is a service company that prepares tax returns. An outside auditor has examined 20 samples each containing one completed tax return. The total number of defects observed over the 20 samples is 200. What type of control chart would you recommend? a. p-chart b. c-chart c. x chart d. R chart

b

74. Easy Tax is a service company that prepares tax returns. An outside auditor has examined 20 samples each containing one completed tax return. The total number of defects observed over the 20 samples is 200. The centerline for the control chart constructed is a. 5 b. 10 c. 15 d. 20

b

75. Easy Tax is a service company that prepares tax returns. An outside auditor has examined 20 samples each containing one completed tax return. The total number of defects observed over the 20 samples is 200. The standard deviation for the control chart is a. 2.2 b. 3.2 c. 3.9 d. 4.5

b

77. Easy Tax is a service company that prepares tax returns. An outside auditor has examined 20 samples each containing one completed tax return. The total number of defects observed over the 20 samples is 200. The LCL for the control chart constructed using three sigma is a. -1.6 b. 0.4 c. 3.3 d. 6.5

b

86. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6 energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, what is the centerline of an R-chart for this process? a. .50 b. .85 c. 1.20 d. 1.55

b

93. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an X-bar chart from this data, the 3-sigma UCL would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 6.44 b. 5.87 c. 3.50 d. 2.82

b

95. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an R-chart from this data, the centerline would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 1.00 b. 2.82 c. 3.54 d. 3.81

b

98. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data for one restaurant appears below. Calculate the process capability ratio. Is this restaurant capable of meeting DTG standards? Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. yes b. no c. Cannot be determined from the above information

b

A company randomly selects 100 light bulbs every day for 40 days from its production process. If 600 defective light bulbs are found in the sampled bulbs then the 3-sigma lower control limit would be a. 0.0357 b. 0.0429 c. 0.1500 d. 0.1857

b

A control chart that uses the actual number of defects per item to monitor a process is known as a a. p-chart b. c-chart c. R-chart d. -chart

b

In general, a process is considered to be in control for all the following conditions except a. no points are outside the control limits b. all points are above the centerline c. the points are randomly distributed following a normal population d. no pattern exists in the plotted points

b

53. The formulas for determining the upper and lower control limits are based on the number of standard deviations, z, from the process average. Management usually selects a z value of _______. a. one b. two c. three d. six

c

54. When a control chart is first developed, if the process is found to be out of control, a. the control chart can be utilized. b. the control chart should not be utilized until more samples are taken, c. the process should be examined and corrections made before a new control chart is constructed. d. the process should be replaced by a new process.

c

70. Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 200 tires. The total number of defective tires over the 15 samples is 340. The sample standard deviation is a. 0.005 b. 0.011 c. 0.022 d. 0.028

c

78. Marble Inc. makes countertops from a variety of high-end materials. To monitor the quality of its production processes the company randomly selects one countertop and counts the number of blemishes. The results for ten samples are shown below: Sample No. 1 2 3 4 5 6 7 8 9 10 No. of Blemishes 17 19 15 18 16 14 15 16 15 15 Given the sample information above, the average number of defects per unit for this process would be a. 160 b. 80 c. 16 d. 10

c

79. Marble Inc. makes countertops from a variety of high-end materials. To monitor the quality of its production processes the company randomly selects one countertop and counts the number of blemishes. The results for ten samples are shown below: Sample No. 1 2 3 4 5 6 7 8 9 10 No. of Blemishes 17 19 15 18 16 14 15 16 15 15 Given the sample information above, the standard deviation of the number of defects for this process would be a. 16 b. 10 c. 4 d. 0

c

82. A control chart that reflects the amount of variation, or spread, present within each sample is known as a(n) a. p-chart b. c-chart c. R-chart d. x chart

c

87. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6 energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, the UCL for an R-chart of this process would be a. 0.0 b. 1.0 c. 1.7 d. 2.4

c

89. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6 energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, the centerline for an X-bar chart of this process would be a. 4.75 b. 5.00 c. 5.35 d. 5.69

c

92. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an X-bar chart from this data, the centerline would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 2.87 b. 3.70 c. 3.81 d. 4.28

c

94. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an X-bar chart from this data, the 3-sigma LCL would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 0.00 b. 1.00 c. 1.76 d. 2.82

c

97. Dumplings -To-Go (DTG) provides take-out dumplings and noodle dishes to customers at its chain of drive-through restaurants. The target for a customer's waiting time is 3.0 minutes +/- 1 minute. Each month, one of the managers observes the drive-through process and collects a sample of 4 waiting times a day over a 6 day period. The data from one restaurant appears below. If DTG were to construct an R-chart from this data, the 3-sigma LCL would be Samples Observations (mins) 1 2 3 4 1 5.4 4.6 6.0 1.5 2 2.8 3.9 4.6 5.4 3 5.7 3.1 2.8 2.2 4 4.1 4.3 5.3 2.8 5 2.9 1.3 4.1 3.0 6 3.3 4.3 4.2 3.9 a. 2.82 b. 1.41 c. 0.00 d. -1.41

c

a. 90. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, the UCL for an X-bar chart of this process would be a. 5.00 b. 5.35 c. 5.76 d. 6.45

c

41. Which of the following could be responsible for variability that is special cause (nonrandom)? a. Broken machinery. b. Defective parts and materials. c. Operator error. d. All these answer choices are correct.

d

45. Which of the following services can be measured and monitored with control charts? a. Hospitals b. Airlines c. Banks d. All these answer choices are correct

d

49. Which of the following is not a characteristic of a control chart? a. the centerline is determined using special cause (nonrandom) variations. b. the upper and lower control limits are based on special cause (nonrandom) variation. c. the centerline is determined by using the target value. d. None of these answer choices is correct.

d

65. Consider a production process that produces batteries. A quality engineer has taken 20 samples each containing 100 batteries. The total number of defective batteries observed over the 20 samples is 200. The centerline for the control chart constructed using z equal to two is a. 0.03 b. 0.04 c. 0.05 d. 0.10

d

67. Consider a production process that produces batteries. A quality engineer has taken 20 samples each containing 100 batteries. The total number of defective batteries observed over the 20 samples is 200. The UCL for the control chart constructed using two sigma is a. 0.088 b. 0.094 c. 0.104 d. 0.160

d

71. Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 200 tires. The total number of defective tires over the 15 samples is 340. The UCL for the control chart constructed using two sigma is a. 0.025 b. 0.094 c. 0.122 d. 0.154

d

80. Marble Inc. makes countertops from a variety of high-end materials. To monitor the quality of its production processes the company randomly selects one countertop and counts the number of blemishes. The results for ten samples are shown below: Sample No. 1 2 3 4 5 6 7 8 9 10 No. of Blemishes 17 19 15 18 16 14 15 16 15 15 Given the sample information above, the UCL using sigma = 3 for this process would be a. 36 b. 32 c. 30 d. 28

d

81. Marble Inc. makes countertops from a variety of high-end materials. To monitor the quality of its production processes the company randomly selects one countertop and counts the number of blemishes. The results for ten samples are shown below: Sample No. 1 2 3 4 5 6 7 8 9 10 No. of Blemishes 17 19 15 18 16 14 15 16 15 15 Given the sample information above, the LCL using sigma = 3 for this process would be a. 12 b. 8 c. 4 d. 0

d

85. Which of the following charts are frequently used together to monitor and control quality? a. p and x b. R and p c. c and R d. R and x

d

91. Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they are not receiving the full 5 ounces in each can. A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings. On 15 different occasions over the past month, she has taken a sample of 6 energy drinks off the production line and recorded their weight. If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces, the LCL for an X-bar chart of this process would be a. 4.50 b. 4.65 c. 4.79 d. 4.94

d