Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 6, Problem 8FP
To determine

List the two steps to locate the cutoff score for a proportions.

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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…
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