Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 6, Problem 16P
Suppose X~ N(8, 1). ‘What value of x has a z-score of —2.25?
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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 6 Solutions
Introductory Statistics
Ch. 6 - What is the z-score of x, when x = 1 and...Ch. 6 - Fill In the blanks. Jerome averages 16 points a...Ch. 6 - Use the Information in Example 6.3 to answer the...Ch. 6 - In 2012, 1,664,479 students took the SAT exam. The...Ch. 6 - Suppose X has a normal distribution with mean 25...Ch. 6 - The scores on a college entrance exam have an...Ch. 6 - If the area to the left of x is 0.012, then what...Ch. 6 - The golf scores for a school team were normally...Ch. 6 - The golf scores for a school team were normally...Ch. 6 - Use the Information in Example 6.10 to answer the...
Ch. 6 - Two thousand students took an exam. The scores on...Ch. 6 - Using the information from Example 6.12, answer...Ch. 6 - A bottle of water contains 12.05 fluid ounces with...Ch. 6 - A normal distribution has a mean of 61 and a...Ch. 6 - X~N(1,2)=Ch. 6 - A company manufactures rubber balls. The mean...Ch. 6 - X~N(-4, 1) What is the median?Ch. 6 - X~N(3,5)=Ch. 6 - X~N(2,1)=Ch. 6 - What does a z-score measure?Ch. 6 - What does standardizing a normal distribution do...Ch. 6 - Is X ~N(0, 1) a standardized normal distribution?...Ch. 6 - What is the z-score of x = 12, if it is two...Ch. 6 - What is the z-score of x = 9, if it is 1.5...Ch. 6 - What is the z-score of x = —2, if it is 2.78...Ch. 6 - What is the z-score of x = 7, if it is 0.133...Ch. 6 - Suppose X~ N(2, 6). What value of x has a z-score...Ch. 6 - Suppose X~ N(8, 1). ‘What value of x has a z-score...Ch. 6 - Suppose X ~N(9, 5). What value of x has a z-score...Ch. 6 - Suppose X~ N(2, 3). That value of x has a z-score...Ch. 6 - Suppose X ~N(4, 2). What value of x is 1.5...Ch. 6 - Suppose X ~N(4, 2). What value of x is two...Ch. 6 - Suppose X ~N(8, 9). What value of x is 0.67...Ch. 6 - Suppose X ~N(—1, 2). What is the z-score of x = 2?Ch. 6 - Suppose X ~N( 12, 6). What is the z-score of x =...Ch. 6 - Suppose X ~N(9, 3). What is the z-score of x = 9?Ch. 6 - Suppose a normal distribution has a mean of six...Ch. 6 - In a normal distribution, x = 5 and z = —1.25....Ch. 6 - In a normal distribution, x = 3 and z = 0.67. This...Ch. 6 - In a normal distribution, x = —2 and z = 6. This...Ch. 6 - In a normal distribution, x = —5 and z = —3.14....Ch. 6 - In a normal distribution, x= 6 and z —1.7. This...Ch. 6 - About what percent of x values from a normal...Ch. 6 - About what percent of the x values from a normal...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Suppose X N( 15, 3). Between what x values does...Ch. 6 - Suppose X~ N(—3, 1). Between what x values does...Ch. 6 - Suppose X ~N(—3, 1). Between what x values does...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - About what percent of x values lie between the...Ch. 6 - Use the following information to answer the next t...Ch. 6 - Use the following information to answer the next t...Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of one? Figure 6.13Ch. 6 - Is P(x < 1) equal to P(x1) ? ‘by?Ch. 6 - How would you represent the area to the left of...Ch. 6 - What is the area to the right of three? Figure...Ch. 6 - If the area to the left of x in a normal...Ch. 6 - If the area to the tight of x in a normal...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - X~N(6, 2) Find the probability that x is between...Ch. 6 - X~N(—3, 4) Find the probability that x is between...Ch. 6 - X~N(4,5) Find the maxium of x in the bottom...Ch. 6 - Use the following information to answer the next...Ch. 6 - Find the probability that a CD player will last...Ch. 6 - Find the 70th percentile of the distribution for...Ch. 6 - Use the following information to answer the next r...Ch. 6 - Use the following information to answer the next r...Ch. 6 - The length of time to find it takes to find a...Ch. 6 - The heights of the 430 National Basketball...Ch. 6 - The systolic blood pressure (given In millimeters)...Ch. 6 - Kyle’s doctor told him that the z-score for his...Ch. 6 - Height and weight are two measurements used to...Ch. 6 - In 2005, 1,475,623 students heading to college...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information (0 answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - Use the following information to answer the next...Ch. 6 - According to a study done by De Anza students, the...Ch. 6 - IQ is normally distributed with a mean of 100 and...Ch. 6 - The percent of fat calories that a person In...Ch. 6 - Suppose that the distance of fly balls hit to the...Ch. 6 - In China, four-ear-olds average three bows a day...Ch. 6 - In the 1992 presidential election, Alaska's 40...Ch. 6 - Suppose that the duration of a particular type of...Ch. 6 - Tern Vogel, an amateur motorcycle racer, averages...Ch. 6 - Thuy Dau, Ngoc Bui, Sam Su, and Lan Voung...Ch. 6 - Suppose that Ricardo and Anita attend different...Ch. 6 - Table 6.4 shows a sample of the maximum capacity...Ch. 6 - An expert witness for a paternity lawsuit...Ch. 6 - A NUMMI assembly Line, which has been operating...Ch. 6 - We flip a coin 100 times (n = 100) and note that...Ch. 6 - A $1 scratch off lotto ticket will be a inner one...Ch. 6 - Facebook provides a variety of statistics on its...
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