Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 13.4, Problem 13.18ACI
Cereal box manufacturing. A machine at K-Company fills boxes with bran flakes cereal. The target weight for the filled boxes is 24 ounces. The company would like to use an x-chart to monitor the performance of the machine. To develop the control chart, the company decides to sample and weigh five boxes of cereal each day (at 8:00 and 11:00 A.M. and 2:00, 5:00, and 8:00 P.M. ) for 20 consecutive days. The data are summarized in the SPSS printout below.
- a. Construct an
- b. What does the chart suggest about the stability of the filling process (whether the process is in or out of statistical control)? Justify your answer.
- c. Should the control limits be used to monitor future process output? Explain.
- d. Two shifts of workers run the filling operation. Each day the second shift takes over at 3:00 P.M. Will the rational subgrouping strategy used by K- Company facilitate or hinder the identification of process variation caused by differences in the two shifts? Explain.
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Nocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf. Each bottle should have a net weight of 4 oz. The machine that fills the bottles with coffee is new, and the operations manager wants to make
sure that it is properly adjusted. Bonnie Crutcher, The Operations Manager, randomly selects and weighs. n = 8 bottles and rounds the average and range in ounces for each sample. The data for several
samples is given in the following table. Note that every sample consist of 8 bottles.
1. Find Grand X-Bar
2. Find R-Bar
3. Using the Sample Chart Locate Sigma
4. Using the UCL Formula insert the values into the formula
SAMPLE SAMPLE RANGE SAMPLE AVERAGE
A
B
C
D
E
E
F
P
G
H
UCL=x+A₂ (R)
LCL=X-A₂ (R)
.41
55
44
48
56
.56
.62
54
.44
A2 = .373
UCL in Inches =
4.00
4.16
3.99
4.00
4.17
3.93
3.98
4.01
Round Your Response Two Decimal Places
UCL=D4(R)
LCL=D3(R)
Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acre feet. The meteorologists randomly selected 30 clouds which they seeded with silver iodide to test their theory that average acre feet of rain produced is more than 300.
Which of the following is the most appropriate test for this data?
a. One Sample t Test
b. Sign Test
c. One Proportion Z Test
Cloud seeding, a process in which chemicals such as silver iodide and frozen carbon dioxide are
introduced by aircraft into clouds to promote rainfall was widely used in many years. Recent research has
questioned its effectiveness. An experiment as performed by randomly assigning 52 clouds to be seeded
or not. The amount of rain generated was then measured in acre-feet. The box plot of the data for the
seeded and unseeded clouds are shown in the figure. Which statement best interprets the box plot.
Boxplot of Seeded, Unseeded
3000 f
2500어
2000 -
1500 -
1000 -
500-
Seeded
Unseeded
a. Cloud seeding is somewhat effective in promoting rainfall because of the greater mean
b. Outliers for both seeded and unseeded data may prove data on the effectiveness of cloud seeding is insufficient
c. Extreme outliers are evident in the seeded data and has greater variance
O d. There's a greater mean and greater dispersion in the seeded data. Both plots show outliers
Data
Chapter 13 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 13.4 - What is a control chart? Describe its use.Ch. 13.4 - Explain why rational subgrouping should be used in...Ch. 13.4 - When a control chart is first constructed, why are...Ch. 13.4 - Which process parameter is an x -chart used to...Ch. 13.4 - Even if all the points on an x -chart fall between...Ch. 13.4 - What must be true about the variation of a process...Ch. 13.4 - Use the six pattern-analysis rules described in...Ch. 13.4 - Consider the x -chart shown below. a. Is the...Ch. 13.4 - Use Table IX on page 13-74 to find the value of A2...Ch. 13.4 - Twenty-five consecutive samples of size n = 5 were...
Ch. 13.4 - The data in the following table were collected for...Ch. 13.4 - Prob. 13.12ACBCh. 13.4 - Active pharmaceutical ingredient. During the...Ch. 13.4 - Detecting gender-related employment disparities....Ch. 13.4 - Pain levels of ICU patients. Various interventions...Ch. 13.4 - Quality control for irrigation data. Most farmers...Ch. 13.4 - Improving public health waiting times. Statistical...Ch. 13.4 - Cereal box manufacturing. A machine at K-Company...Ch. 13.4 - Detecting under-reported emissions. The...Ch. 13.4 - 13 20 Selecting the best wafer-slicing machine....Ch. 13.4 - Chunky data. BPI Consulting, a leading provider of...Ch. 13.4 - Military aircraft bolts. A precision parts...Ch. 13.5 - What characteristic of a process is an R-chart...Ch. 13.5 - Prob. 13.24LMCh. 13.5 - Use Table IX on page 13-74 to find the values of...Ch. 13.5 - Construct and interpret an R-chart for the data in...Ch. 13.5 - Construct and interpret an R-chart for the data in...Ch. 13.5 - Construct and interpret an R-chart and an x -chart...Ch. 13.5 - Weight of packed frozen scallops. In Quality...Ch. 13.5 - Detecting gender-related employment disparities....Ch. 13.5 - Pain levels of ICU patients. Refer to the Research...Ch. 13.5 - Quality control for irrigation data. Refer to...Ch. 13.5 - Lowering the thickness of an expensive blow-molded...Ch. 13.5 - Cola bottle filling process. A soft-drink bottling...Ch. 13.5 - Chunky data. Refer to Exercise 13.21e (p. 13-40)...Ch. 13.5 - Replacement times for lost ATM cards. In an effort...Ch. 13.5 - Military aircraft bolts. Refer to the...Ch. 13.5 - Precision of scale weight measurements. The...Ch. 13.6 - What characteristic of a process is a p-chart...Ch. 13.6 - In each of the following cases, use the sample...Ch. 13.6 - The proportion of defective items generated by a...Ch. 13.6 - To construct a p-chart for a manufacturing...Ch. 13.6 - To construct a p-chart, 20 samples of size 150...Ch. 13.6 - Academic failure rates in Nigeria. The quality...Ch. 13.6 - Monitoring surgery complications. An article on...Ch. 13.6 - Rental car call center study. A worldwide rental...Ch. 13.6 - Defective micron chips. A manufacturer produces...Ch. 13.6 - Hand break cable defects. In Control Engineering...Ch. 13.6 - Monitoring newspaper typesetters. Accurate...Ch. 13.6 - Quality of rewritable CDs. A Japanese compact disc...Ch. 13.6 - Leaky process pumps. Quality (February 2008)...Ch. 13.6 - Rubber company lire tests. Goodstone Tire Rubber...Ch. 13.7 - Explain why it is inappropriate to conduct a...Ch. 13.7 - Explain the difference between process spread and...Ch. 13.7 - Describe two different ways to assess the...Ch. 13.7 - Why is it recommended to use and interpret Cp in...Ch. 13.7 - For a process that is in control and follows a...Ch. 13.7 - Find the specification spread for each of the...Ch. 13.7 - Find (or estimate) the process spread for each of...Ch. 13.7 - Find the value of Cp for each of the following...Ch. 13.7 - Upper specification limit of a process. An...Ch. 13.7 - Capability of an in-control process. A process is...Ch. 13.7 - Water use at a thermal power plant. Thermal power...Ch. 13.7 - Cereal box filling process. Refer to the data on...Ch. 13.7 - Military aircraft bolts. Refer to Exercise 13.22...Ch. 13.7 - Bioreactor production of antibodies. Benchtop...Ch. 13.7 - Driver gear bore holes. During the manufacture of...Ch. 13.7 - Lowering the thickness of an expensive blow-molded...Ch. 13 - Define quality and list its important dimensions.Ch. 13 - What is a process? Give an example of an...Ch. 13 - What is a system? Give an example of a system with...Ch. 13 - Describe the six major sources of process...Ch. 13 - Suppose all the output of a process over the last...Ch. 13 - Processes that are in control are predictable;...Ch. 13 - Compare and contrast special and common causes...Ch. 13 - Explain the difference between control limits and...Ch. 13 - Should control charts be used to monitor a process...Ch. 13 - Under what circumstances is it appropriate to use...Ch. 13 - A process is under control and follows a normal...Ch. 13 - Weight of a product. Consider the time series data...Ch. 13 - Lengths of pencils. The length measurements of 20...Ch. 13 - Applying pattern-analysis rules. Use the...Ch. 13 - Defective plastic mold. A company that...Ch. 13 - Robotics clamp gap width. Control chart...Ch. 13 - Package sorting time. AirExpress. an overnight...Ch. 13 - Waiting times of airline passengers. Officials at...Ch. 13 - Defects in graphite shafts. Over the last year, a...Ch. 13 - New iron-making process. Mining Engineering...Ch. 13 - CPU of a computer chip. The central processing...Ch. 13 - Bayfield Mud Company case. The text Quantitative...
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