An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Textbook Question
Chapter 12.4, Problem 1Q
The cathode warm-up time (in seconds) was determined for three different types of X-ray tubes using fifteen observations of each type. The results are listed in the following table.
| Warm-Up Times (sec) | |||||
| Tube Type | |||||
| ABC | |||||
| 19 | 27 | 20 | 24 | 16 | 14 |
| 23 | 31 | 20 | 25 | 26 | 18 |
| 26 | 25 | 32 | 29 | 15 | 19 |
| 18 | 22 | 27 | 31 | 18 | 21 |
| 20 | 23 | 40 | 24 | 19 | 17 |
| 18 | 29 | 22 | 32 | 19 | 18 |
| 35 | 18 | 18 | |||
Do an analysis of variance on these data and test the hypothesis that the three tube types require the same average warm-up time. Include a pair of orthogonal contrasts in your ANOVA table. Define one of the contrasts so it tests
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
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ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
Chapter 12 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 12.2 - Prob. 1QCh. 12.2 - Mount Etna erupted in 1669, 1780, and 1865 (recall...Ch. 12.2 - An indicator of the value of a stock relative to...Ch. 12.2 - Each of five varieties of corn are planted in...Ch. 12.2 - Prob. 5QCh. 12.2 - Prob. 6QCh. 12.2 - Prob. 7QCh. 12.2 - Prob. 8QCh. 12.2 - Prob. 9QCh. 12.2 - Verify the conclusion of Example 12.2.2 by doing a...
Ch. 12.2 - Prob. 12QCh. 12.2 - Prob. 13QCh. 12.3 - Prob. 1QCh. 12.3 - Prob. 2QCh. 12.3 - Intravenous infusion fluids produced by three...Ch. 12.3 - Construct 95%Tukey intervals for all ten pairwise...Ch. 12.3 - Prob. 5QCh. 12.3 - Prob. 6QCh. 12.3 - Prob. 7QCh. 12.4 - The cathode warm-up time (in seconds) was...Ch. 12.4 - Test the hypothesis that the average of the true...Ch. 12.4 - In Case Study 12.2.1 test the hypothesis that the...Ch. 12.4 - Prob. 4QCh. 12.4 - Prob. 5QCh. 12.4 - For many years sodium nitrite has been used as a...Ch. 12.5 - Prob. 1QCh. 12.5 - Prob. 2QCh. 12.5 - Three air-to-surface missile launchers are tested...
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