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freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23

freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23
Transcribed Image Text:freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23
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