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Problems 515 Test the hypothesis that the die is fair (that is, that p; = ,i = 1,...,6) at the 5 percent level of significance. Use the chi-square approximation. %3D 3. Determine the birth and death dates of 100 famous individuals and, using the four-category approach of Example 11.2a, test the hypothesis that the death month is not affected by the birth month. Use the chi-square approximation. 4. It is believed that the daily number of electrical power failures in a certain Mid- western city is a Poisson random variable with mean 4.2. Test this hypothesis if over 150 days the number of days having i power failures is as follows: Failures Number of Days 0. 22 23 32 5. 22 6. 19 13 8. 6. 4 10 4 11 0. 5. Among 100 vacuum tubes tested, 41 had lifetimes of less than 30 hours, 31 had lifetimes between 30 and 60 hours, 13 had lifetimes between 60 and 90 hours, and 15 had lifetimes of greater than 90 hours. Are these data consistent with the hypothesis that a vacuum tube's lifetime is exponentially distributed with a mean of 50 hours? 6. The past output of a machine indicates that each unit it produces will be .40 top grade high grade medium grade low grade with probability with probability with probability with probability .30 .20 .10 A new machine, designed to perform the same job, has produced 500 units with the following results.

Problems 515 Test the hypothesis that the die is fair (that is, that p; = ,i = 1,...,6) at the 5 percent level of significance. Use the chi-square approximation. %3D 3. Determine the birth and death dates of 100 famous individuals and, using the four-category approach of Example 11.2a, test the hypothesis that the death month is not affected by the birth month. Use the chi-square approximation. 4. It is believed that the daily number of electrical power failures in a certain Mid- western city is a Poisson random variable with mean 4.2. Test this hypothesis if over 150 days the number of days having i power failures is as follows: Failures Number of Days 0. 22 23 32 5. 22 6. 19 13 8. 6. 4 10 4 11 0. 5. Among 100 vacuum tubes tested, 41 had lifetimes of less than 30 hours, 31 had lifetimes between 30 and 60 hours, 13 had lifetimes between 60 and 90 hours, and 15 had lifetimes of greater than 90 hours. Are these data consistent with the hypothesis that a vacuum tube's lifetime is exponentially distributed with a mean of 50 hours? 6. The past output of a machine indicates that each unit it produces will be .40 top grade high grade medium grade low grade with probability with probability with probability with probability .30 .20 .10 A new machine, designed to perform the same job, has produced 500 units with the following results.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Problems 515 Test the hypothesis that the die is fair (that is, that p; = ,i = 1,...,6) at the 5 percent level of significance. Use the chi-square approximation. %3D 3. Determine the birth and death dates of 100 famous individuals and, using the four-category approach of Example 11.2a, test the hypothesis that the death month is not affected by the birth month. Use the chi-square approximation. 4. It is believed that the daily number of electrical power failures in a certain Mid- western city is a Poisson random variable with mean 4.2. Test this hypothesis if over 150 days the number of days having i power failures is as follows: Failures Number of Days 0. 22 23 32 5. 22 6. 19 13 8. 6. 4 10 4 11 0. 5. Among 100 vacuum tubes tested, 41 had lifetimes of less than 30 hours, 31 had lifetimes between 30 and 60 hours, 13 had lifetimes between 60 and 90 hours, and 15 had lifetimes of greater than 90 hours. Are these data consistent with the hypothesis that a vacuum tube's lifetime is exponentially distributed with a mean of 50 hours? 6. The past output of a machine indicates that each unit it produces will be .40 top grade high grade medium grade low grade with probability with probability with probability with probability .30 .20 .10 A new machine, designed to perform the same job, has produced 500 units with the following results.
Transcribed Image Text:Problems 515 Test the hypothesis that the die is fair (that is, that p; = ,i = 1,...,6) at the 5 percent level of significance. Use the chi-square approximation. %3D 3. Determine the birth and death dates of 100 famous individuals and, using the four-category approach of Example 11.2a, test the hypothesis that the death month is not affected by the birth month. Use the chi-square approximation. 4. It is believed that the daily number of electrical power failures in a certain Mid- western city is a Poisson random variable with mean 4.2. Test this hypothesis if over 150 days the number of days having i power failures is as follows: Failures Number of Days 0. 22 23 32 5. 22 6. 19 13 8. 6. 4 10 4 11 0. 5. Among 100 vacuum tubes tested, 41 had lifetimes of less than 30 hours, 31 had lifetimes between 30 and 60 hours, 13 had lifetimes between 60 and 90 hours, and 15 had lifetimes of greater than 90 hours. Are these data consistent with the hypothesis that a vacuum tube's lifetime is exponentially distributed with a mean of 50 hours? 6. The past output of a machine indicates that each unit it produces will be .40 top grade high grade medium grade low grade with probability with probability with probability with probability .30 .20 .10 A new machine, designed to perform the same job, has produced 500 units with the following results.
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