MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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11.6

**Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.** A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? [Click here to view the chi-square distribution table.](#)
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Transcribed Image Text:**Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.** A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? [Click here to view the chi-square distribution table.](#)
### Statistical Analysis Example **The test statistic is** [ ]. *(Round to three decimal places as needed.)* **The critical value is** [ ]. *(Round to three decimal places as needed.)* **The P-value is** [ ]. *(Round to four decimal places as needed.)* ### State the Conclusion \[ \square \] \(H_0\). There \[ \triangle \] sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes \[ \diamond \] to be equally likely, so the loaded die \[ \pentagon \] to behave differently from a fair die. ### Instructions: 1. **Test Statistic**: Input the calculated test statistic value and round it to three decimal places. 2. **Critical Value**: Enter the critical value for the test, also rounded to three decimal places. 3. **P-Value**: Provide the P-value calculated from the test and round it to four decimal places. ### Conclusion Options: - Choose whether to reject or fail to reject \(H_0\). - State whether there is sufficient or insufficient evidence. - Indicate whether the outcomes seem or do not seem to be equally likely. - Decide whether the loaded die appears or does not appear to behave differently from a fair die. This framework aids in conducting hypothesis tests to draw conclusions about statistical data distributions and their fairness.
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Transcribed Image Text:### Statistical Analysis Example **The test statistic is** [ ]. *(Round to three decimal places as needed.)* **The critical value is** [ ]. *(Round to three decimal places as needed.)* **The P-value is** [ ]. *(Round to four decimal places as needed.)* ### State the Conclusion \[ \square \] \(H_0\). There \[ \triangle \] sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes \[ \diamond \] to be equally likely, so the loaded die \[ \pentagon \] to behave differently from a fair die. ### Instructions: 1. **Test Statistic**: Input the calculated test statistic value and round it to three decimal places. 2. **Critical Value**: Enter the critical value for the test, also rounded to three decimal places. 3. **P-Value**: Provide the P-value calculated from the test and round it to four decimal places. ### Conclusion Options: - Choose whether to reject or fail to reject \(H_0\). - State whether there is sufficient or insufficient evidence. - Indicate whether the outcomes seem or do not seem to be equally likely. - Decide whether the loaded die appears or does not appear to behave differently from a fair die. This framework aids in conducting hypothesis tests to draw conclusions about statistical data distributions and their fairness.
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