Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5.7, Problem 1E
The article “Simulation of the Hot Carbonate Process for Removal of CO2 and H2S from Medium Btu Gas” (K. Park and T. Edgar, Energy Progress, 1984:174–180) presents an equation used to estimate the equilibrium vapor pressure of CO2 in a potassium carbonate solution. The actual equilibrium pressure (in kPa) was measured in nine different reactions and compared with the value estimated from the equation. The results are presented in the following table:
Find a 95% confidence interval for the mean difference between the estimated and actual pressures.
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The article "Simulation of the Hot Carbonate Process for Removal of CO, and H,S from
Medium Btu Gas" (K. Park and T. Edgar, Energy Progress, 1984:174–180) presents an
equation used to estimate the equilibrium vapor pressure of CO, in a potassium carbonate
solution. The actual equilibrium pressure (in kPa) was measured in nine different reactions
and compared with the value estimated from the equation. The results are presented in the
following table:
Reaction
Estimated Experimental
Difference
45.10
42.95
2.15
2
85.77
79.98
5.79
3
151.84
146.17
5.67
4.
244.30
228.22
16.08
5
257.67
240.63
17.04
6
44.32
41.99
2.33
84.41
82.05
2.36
8
150.47
149.62
0.85
253.81
245.45
8.36
Find a 95% confidence interval for the mean difference between the estimated and actual
pressures.
The article "Mathematical Modeling of the Argon-Oxygen Decarburization Refining
Process of Stainless Steel: Part II. Application of the Model to Industrial Practice" (J. Wei
and D. Zhu, Metallurgical and Materials Transactions B, 2001:212-217) presents the
carbon content (in mass %) and bath temperature (in K) for 32 heats of austenitic stainless
steel. These data are shown in the following table.
Carbon %
Temp.
1975
19
23
1947
22
1954
16
1992
17
1965
18
1971
12
2046
24
1945
17
1984
20
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The output of a solar panel (photovoltaic) system depends on its size. A manufacturer states that the average daily production of its 1.5 kW system is 6.6 kilowatt hours (kWh) for Perth conditions. A consumer group monitored this 1.5 kW system in 20 different Perth homes and measured the average daily production by the systems in these homes over a one month period during October. The data is provided here.
kWh 6.2, 5.8, 5.9, 6.1, 6.4, 6.3, 6.9, 5.5, 7.4, 6.7, 6.3, 6.2, 7.1, 6.8, 5.9, 5.4, 7.2, 6.7, 5.8, 6.9
1. Analyse the consumer group’s data to test if the manufacturer’s claim of an average of 6.6 kWh per day is reasonable. State appropriate hypotheses, assumptions and decision rule at α = 0.10. What conclusions would you report to the consumer group? (Hint: You will need to find Descriptive Statistics first.)
2. If 48 homes in the central Australian city of Alice Springs had this system installed and similar data was collected, in order to assess whether average daily production in…
Chapter 5 Solutions
Statistics for Engineers and Scientists
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Ten more welds will be made...Ch. 5.4 - The article The Prevalence of Daytime Napping and...Ch. 5.4 - The article Occurrence and Distribution of...Ch. 5.5 - In a test of the effect of dampness on electric...Ch. 5.5 - The specification for the pull strength of a wire...Ch. 5.5 - Angioplasty is a medical procedure in which an...Ch. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - In a study of contamination at landfills...Ch. 5.5 - Prob. 8ECh. 5.5 - A mobile computer network consists of a number of...Ch. 5.5 - The article Evaluation of Criteria for Setting...Ch. 5.5 - In a certain year, there were 80 days with...Ch. 5.6 - In a study comparing various methods of gold...Ch. 5.6 - Prob. 2ECh. 5.6 - In an experiment involving the breaking strength...Ch. 5.6 - A new post-surgical treatment is being compared...Ch. 5.6 - The article Differences in Susceptibilities of...Ch. 5.6 - The article Tibiofemoral Cartilage Thickness...Ch. 5.6 - During the spring of 1999, many fuel storage...Ch. 5.6 - Prob. 8ECh. 5.6 - The article Toward a Lifespan Metric of Reading...Ch. 5.6 - Prob. 10ECh. 5.6 - Measurements of the sodium content in samples of...Ch. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - In the article Bactericidal Properties of Flat...Ch. 5.6 - Prob. 15ECh. 5.7 - The article Simulation of the Hot Carbonate...Ch. 5.7 - The article Effect of Refrigeration on the...Ch. 5.7 - Transepidermal water loss (TEWL) is a measure of...Ch. 5.7 - Breathing rates, in breaths per minute, were...Ch. 5.7 - A group of five individuals with high blood...Ch. 5.7 - A sample of 10 diesel trucks were run both hot and...Ch. 5.7 - For a sample of nine automobiles, the mileage (in...Ch. 5.7 - Prob. 8ECh. 5.7 - Prob. 9ECh. 5.7 - Prob. 10ECh. 5.8 - Find the following values. a. 12,.0252 b. 12,.9752...Ch. 5.8 - Prob. 2ECh. 5.8 - Construct a 99% confidence interval for the...Ch. 5.8 - Prob. 4ECh. 5.8 - Scores on an IQ test are normally distributed. 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