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STATISTICS F/BUS.+ECON-W/ACCESS>CUSTOM<
18th Edition
ISBN: 9781323751503
Author: MCCLAVE
Publisher: PEARSON C
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Textbook Question
Chapter 13.6, Problem 13.47ACB
Defective micron chips. A manufacturer produces micron chips for personal computers. From past experience, the production manager believes that 1% of the chips are defective. The company collected a sample of the first 1,000 chips manufactured after 4:00 p.m. every other day for a month The chips were analyzed for defects then these data were used to construct the p-chart shown here.
- a. From a statistical perspective, is a
sample size of 1,000 adequate for constructing the p-chart? Explain. - b. Calculate the chart’s upper and lower control limits.
- c. What does the p-chart suggest about the presence of special causes during the time when the data were collected?
- d. Critique the rational subgrouphg strategy used by the disk manufacturer
Expert Solution & Answer
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Students have asked these similar questions
A survey of 581 citizens found that 313 of them favor a new bill introduced by the city.
We want to find a 95% confidence interval for the true proportion of the population who favor the bill.
What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits.
Your Answer:
2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model
below:
1
y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €.
See Question 2, Tutorial 3 for the meaning of the variables in the above model.
The following results are obtained:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.302e+03 4.320e+02 3.015 0.00307
x4
x6
x8
x4:x8
x6:x8
-1.442e+02
2.056e+01 -7.013 1.02e-10
6.340e-01 6.099e+00 0.104 0.91737
-9.455e-02 5.802e-02 -1.630
0.10550
2.882e-02 2.589e-03 11.132
1.673e-03 7.215e-04 2.319
F)
x4
1
3486722
3486722
17.9286 4.214e-05
x6
1
14595537
x8
x4:x8
x6:x8
1
132.4836 < 2.2e-16
1045693
194478
5.3769 0.02191
1 1198603043 1198603043 6163.1900 < 2.2e-16
1 25765100 25765100
1045693
Residuals 135 26254490
Estimated variance matrix
(Intercept)
x4
x6
x8
x4:x8
x6:x8
(Intercept)
x4
x6
x8
x4:x8
x6:x8
0.18875694
1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953
-5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013
-2.322825e+03…
In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF
where 1 > 0 is a parameter, and c is a constant.
(a) Find the expression of c in terms of 1.
(b) Find E(X).
(Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)
Chapter 13 Solutions
STATISTICS F/BUS.+ECON-W/ACCESS>CUSTOM<
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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