Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 15.2, Problem 12PB
Sign lest for GRR scores Consider Example 8, for which the changes in the writing portion GRE scores for the first three people who attended a training workshop were 0.5, –0.5, and 1.5. Show how to use the sign test to lest that the
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A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution.
y
1
2
3
1
0.22
0.33
0.05
x
2
0.00
0.08
0.20
3
0.07
0.05
0.00
μXX = , and μYY =
σXX = , and σYY =
The covariance of X and Y is . The coefficient of correlation is . The variables X and Y independent.
The expected value of X + Y is , and the variance of X + Y is .
To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam.
What is the probability that a randomly selected exam taker qualifies for the program?
0.45
0.47
0.46
0.33
Chebysheff’s Theorem states that the…
Chapter 15 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 15.1 - Prob. 1PBCh. 15.1 - Prob. 2PBCh. 15.1 - Prob. 3PBCh. 15.1 - Prob. 4PBCh. 15.1 - Prob. 5PBCh. 15.1 - Prob. 6PBCh. 15.1 - Prob. 7PBCh. 15.2 - How long do you tolerate being put on hold?...Ch. 15.2 - Prob. 9PBCh. 15.2 - Prob. 10PB
Ch. 15.2 - Cell phones and reaction times Example 13 in...Ch. 15.2 - Sign lest for GRR scores Consider Example 8, for...Ch. 15.2 - Prob. 13PBCh. 15.2 - More on blood pressure Refer to the previous...Ch. 15.2 - Prob. 15PBCh. 15.2 - Prob. 16PBCh. 15 - Car bumper damage An automobile company compares...Ch. 15 - Comparing more bumpers Refer to the previous...Ch. 15 - Telephone holding times In Exercise 15.8, the...Ch. 15 - Treating alcoholics The nonparametric statistics...Ch. 15 - Comparing tans Examples 1 and 2 compared two...Ch. 15 - Comparing therapies for anorexia The Anorexia data...Ch. 15 - Internet versus cell phones For the countries in...Ch. 15 - Prob. 24CPCh. 15 - GPAs The Georgia Student Survey data file has data...Ch. 15 - Prob. 26CPCh. 15 - Prob. 27CPCh. 15 - Student survey For the FL Student Survey data file...Ch. 15 - Prob. 29CPCh. 15 - Prob. 30CPCh. 15 - Complete the analogy The t test for comparing two...Ch. 15 - Prob. 32CPCh. 15 - True or false For a one-sided significance test...Ch. 15 - Multiple choice Nonparametric statistical methods...Ch. 15 - Prob. 35CPCh. 15 - Prob. 36CPCh. 15 - Prob. 37CP
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- (d) Draw the Venn diagram which represents the set (A U B) U (B NC).arrow_forwardThe ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n sample mean population std. dev. West 33 26.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for this problem? what is the p-value? what is the decision (reject or do not reject the null hypothesis?arrow_forwardA common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 24% of the time, and roommate B chooses rock 85% of the time; roommate A selects paper 12% of the time, and roommate B selects paper 14% of the time; roommate A chooses scissors 64% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each…arrow_forward
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