2. 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? (α ≤ .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 α ≤ .05. Answers: 2. a) χ2 = 10.133, reject H0: the wheel does behave differently after being oiled; b) χ2 = 2.44, do not reject H0: it appears that the probability of occurrence of a number is proportional to the number (there is no evidence to reject this). nnNnnNnN

2. 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? (α ≤ .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 α ≤ .05. Answers: 2. a) χ2 = 10.133, reject H0: the wheel does behave differently after being oiled; b) χ2 = 2.44, do not reject H0: it appears that the probability of occurrence of a number is proportional to the number (there is no evidence to reject this). nnNnnNnN

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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