Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 4, Problem 103H
The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate In Afghanistan Is 28.1%. Suppose you choose 15 people In Afghanistan at random. Let X = the number of people who are literate.
a. Sketch a graph of the
b. Using the formulas, calculate the (I) mean and (II) standard deviation of X.
c. Find the probability that more than five people In the sample are literate. Is it Is more likely that three people or four people are literate.
Expert Solution & Answer
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Students have asked these similar questions
Cycles to
failure
Position in
ascending
order
0.5
f(x))
(x;)
Problem 44
Marsha, a renowned cake scientist, is trying to determine how long different cakes can survive intense fork attacks before collapsing into crumbs.
To simulate real-world cake consumption, she designs a test where cakes are subjected to repeated fork stabs and bites, mimicking the brutal
reality of birthday parties. After rigorous testing, Marsha records 10 observations of how many stabs each cake endured before structural failure.
Construct P-P plots for (a.) a normal distribution, (b.) a lognormal distribution, and (c.) a Weibull distribution (using the information included in the
table below). Which distribution seems to be the best model for the cycles to failure for this material? Explain your answer in detail.
Observation
Empirical
cumulative
Probability distribution
Cumulative distribution
Inverse of cumulative
distribution F-1 (-0.5)
F(x))
(S)
n
4
3
1
0.05
9
5
2
0.15
7
7
3
0.25
1
10
4
0.35
3
12
5
0.45
Normal…
Problem 3
In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that
their machine still struggles with power inconsistencies-sometimes generating too little energy, other times
too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far
future, they must calibrate the machine's power output. After extensive testing, they found that the time
machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a
standard deviation of 1.2 gigawatts.
The Time Travel Safety Board has set strict guidelines: For a successful time jump, the
machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly
selected time jump meets this precision requirement?
Daniel suggests that adjusting the mean power output could improve time-travel accuracy.
Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…
Problem 5 (
Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain
America's shield), so she decides to start a detailed literature review on the subject. Among others, she found
a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing
mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is
shown in the table below.
a.
Run
A
B
с
D
1
(1)
-1
-1
-1
1
2
a
1
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-1
1
3
bd
-1
1
-1
1
4
abd
1
1
-1
1
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cd
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-1
1
-1
6
acd
1
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1
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bc
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1
1
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paper?
s) What was the generator used in the 2"(4-1) fractional factorial design described in the
b.
Based on the resolution of this design, what do you think about the generator used in the
paper? Do you think it was a good choice, or would you have selected a different one? Explain your
answer in detail.
Chapter 4 Solutions
Introductory Statistics
Ch. 4 - A hospital researcher Is Interested In the number...Ch. 4 - Jeremiah has basketball practice two days a week....Ch. 4 - A hospital researcher is interested in the number...Ch. 4 - You are playing a game of chance In which four...Ch. 4 - Suppose you play a game with a spinner. You play...Ch. 4 - On Ma 11, 2013 at 9:30 PM. the probability that...Ch. 4 - The state health board is concerned about the...Ch. 4 - A trainer is teaching a dolphin to do tricks. The...Ch. 4 - A fair, six-sided die is rolled ten times. Each...Ch. 4 - Sixty-five percent of people pass the state...
Ch. 4 - About 32% of students participate in a community...Ch. 4 - According to a Gallup poll, 60% of American adults...Ch. 4 - During the 2013 regular NBA season. DeAndre Jordan...Ch. 4 - A lacrosse team is selecting a captain. The names...Ch. 4 - You throw darts at a board until you hit the...Ch. 4 - An instructor feels that 15% of students get below...Ch. 4 - You need to find a store that carries a special...Ch. 4 - The probability of a defective steel rod is 0.01....Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A bag contains letter tiles. Forty-four of the...Ch. 4 - A gross of eggs contains 144 eggs. A particular...Ch. 4 - A palette has 200 milk cartons. Of the 200 canons,...Ch. 4 - An intramural basketball team Is to be chosen...Ch. 4 - The average number of fish caught In an hour Is...Ch. 4 - An electronics store expects to have ten returns...Ch. 4 - An emergency room at a particular hospital gets an...Ch. 4 - A customer service center receives about ten...Ch. 4 - According to a recent poll by the Pew Internet...Ch. 4 - Atlanta’s Hartsfield-Jackson International Airport...Ch. 4 - On May 13, 2013, starting at 4:30 PM, the...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Suppose that the PDF for the number of years it...Ch. 4 - A theater group holds a fund-raiser. It sells 100...Ch. 4 - A game Involves selecting a card from a regular...Ch. 4 - You buy a lottery ticket to a lottery that costs...Ch. 4 - Complete the PDF and answer the questions. a. Find...Ch. 4 - Suppose that you are offered the following deal.’...Ch. 4 - A venture capitalist, willing to invest...Ch. 4 - Suppose that 20,000 married adults in the United...Ch. 4 - Suppose that the PDF for the number of years It...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A friend’ offers you the following deal. For a $10...Ch. 4 - Florida State University has 14 statistics classes...Ch. 4 - In a lottery, there are 250 prizes of $5. 50...Ch. 4 - According to a recent ankle the average number of...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A school newspaper reporter decides to randomly...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following infonnanors to answer the next...Ch. 4 - What is the probability that the San Jose Sharks...Ch. 4 - A student takes a ten-question true-false quiz,...Ch. 4 - A student takes a 32-question multiple-choice...Ch. 4 - Six different colored dice are rolled. Of interest...Ch. 4 - More than 96 percent of the veiy Largest colleges...Ch. 4 - Suppose that about 85% of graduating students...Ch. 4 - At The Fencing Center. 60% of the fencers use the...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - It has been estimated that only about 30% of...Ch. 4 - There are two similar games played for Chinese New...Ch. 4 - According to The World Bank, only 9% of the...Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A consumer looking to buy a used red Miata car...Ch. 4 - Suppose that the probability that an adult In...Ch. 4 - It has been estimated that only about 3000 of...Ch. 4 - In one of its Spring catalogs, Li. Beans...Ch. 4 - Suppose that you are performing the probability...Ch. 4 - Ellen has music practice three days a week. She...Ch. 4 - The World Bank records the prevalence of HIV In...Ch. 4 - According to a recent Pew Research poll, 75% of...Ch. 4 - A group of Martial Arts students Is planning on...Ch. 4 - In one of its Spring catalogs, L.L. Bean...Ch. 4 - Suppose that a technology task force Is being...Ch. 4 - Suppose that nine Massachusetts athletes are...Ch. 4 - A bridge hand Is defined as 13 cards selected at...Ch. 4 - The switchboard in a Minneapolis law office gets...Ch. 4 - The matemity ward at Dr. Jose Fabella Memorial...Ch. 4 - A manufacturer of Christmas tree light bulbs knows...Ch. 4 - The average number of children a Japanese woman...Ch. 4 - The average number of children a Spanish woman has...Ch. 4 - Fertile, female cats produce an average of three...Ch. 4 - The chance of having an extra fortune In a fortune...Ch. 4 - According to the South Carolina Department of...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - On average, Pierre, an amateur chef, drops three...Ch. 4 - Use the following information to answer the next v...Ch. 4 - Use the following information to answer the next v...
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