Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 14.2, Problem 1LC
Can SP ever have a value less than zero?
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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.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
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 14 Solutions
Essentials of Statistics for the Behavioral Sciences
Ch. 14.1 - For each of the following, indicate whether you...Ch. 14.1 - The data points would be clustered more closely...Ch. 14.1 - If the data points are clustered close to a line...Ch. 14.1 - If a scatter plot shows a set of data points that...Ch. 14.2 - Can SP ever have a value less than zero?Ch. 14.2 - Calculate the sum of products of deviations (SP)...Ch. 14.2 - Prob. 3LCCh. 14.3 - A researcher finds a correlation of r = 0.71...Ch. 14.3 - A researcher finds a correlation of r = 0.60...Ch. 14.4 - A researcher obtains a correlation of r = 0.39 for...
Ch. 14.4 - As sample size gets smaller, what happens to the...Ch. 14.4 - Sales figures show a positive relationship between...Ch. 14.5 - Describe what is measured by a Spearman...Ch. 14.5 - Prob. 2LCCh. 14.5 - Prob. 3LCCh. 14.5 - The following data represent job-related stress...Ch. 14.5 - Prob. 2LCACh. 14.6 - A local gym charges a 25 monthly membership fee...Ch. 14.6 - Prob. 2LCCh. 14.6 - Prob. 3LCCh. 14.6 - If the slope constant (b) in a linear equation is...Ch. 14.6 - Prob. 1LCACh. 14.6 - Prob. 1LCBCh. 14.6 - Prob. 2LCBCh. 14.6 - Prob. 3LCBCh. 14.6 - Prob. 1LCCCh. 14 - a. What information is provided by the sign (+ or...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - For the following scores, X Y 1 3 3 5 2 1 2 3 a....Ch. 14 - For the following scores, X Y 1 7 4 2 1 3 1 6 2 0...Ch. 14 - Prob. 6PCh. 14 - With a small sample, a single point can have a...Ch. 14 - For the following set of scores, X Y 6 4 3 1 5 0 6...Ch. 14 - Judge and Cable (2010) report the results of a...Ch. 14 - The researchers cited in the previous problem also...Ch. 14 - Identifying individuals with a high risk of...Ch. 14 - As we have noted in previous chapters, even a very...Ch. 14 - A researcher measures three variables, X, Y, and...Ch. 14 - Prob. 17PCh. 14 - The regression equation is intended to be the best...Ch. 14 - A set of n = 20 pairs of scores (X and Y values)...Ch. 14 - A set of n = 25 pairs of scores (X and Y values)...Ch. 14 - For the following set of data, a. Find the linear...Ch. 14 - Does the regression equation from Problem 20...Ch. 14 - Prob. 23PCh. 14 - Although you might suspect that dissatisfied...Ch. 14 - Problem 9 examined the relationship between weight...Ch. 14 - There appears to be some evidence suggesting that...Ch. 14 - The regression equation is computed for a set of n...Ch. 14 - a. One set of 20 pairs of scores, X and Y values,...Ch. 14 - a. A researcher computes the regression equation...
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