Fred is testing a large prize wheel which has the numbers one, two, three, and four repeated along its circumference. When Fred spun the wheel 80 times, the wheel stopped at a one 12 times, at a two 20 times, at a three 20 times, and at a four 28 times. Fred then oiled the wheel and spun it an additional 120 times. This time he obtained frequencies of 12, 20, 32, and 56 respectively. Fred was careful to spin the wheel in the same manner each time a) Does the wheel behave differently after being oiled? (a < .05) b) When the wheel is oiled, is the probability of occurrence of a number proportional to the number (i.e., does the wheel stop at a two twice as often as at a one, etc.)? Use a 5.05. Answers: a) x7 = 10.133, reject Ho: the wheel does behave differently after being oiled; b) ›7 = 2.44, do not reject Ho: it appears that the probability of occurrence of a number is proportional to the number (there is no evidence to reject this) Please show all your work in detail and include every step to solve this

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Fred is testing a large prize wheel which has the numbers one, two, three, and four repeated along its circumference. When Fred spun the wheel 80 times, the wheel stopped at a one 12 times, at a two 20 times, at a three 20 times, and at a four 28 times. Fred then oiled the wheel and spun it an additional 120 times. This time he obtained frequencies of 12, 20, 32, and 56 respectively. Fred was careful to spin the wheel in the same manner each time a) Does the wheel behave differently after being oiled? (a < .05) b) When the wheel is oiled, is the probability of occurrence of a number proportional to the number (i.e., does the wheel stop at a two twice as often as at a one, etc.)? Use a 5.05. Answers: a) x7 = 10.133, reject Ho: the wheel does behave differently after being oiled; b) ›7 = 2.44, do not reject Ho: it appears that the probability of occurrence of a number is proportional to the number (there is no evidence to reject this) Please show all your work in detail and include every step to solve this
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