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Statistical Hypothesis Testing Homework Solutions for Fall 2006, Stat 4706 - Prof. Leigh M, Assignments of Statistics

Solutions to homework 3 for a statistical hypothesis testing course, stat 4706, in the fall semester of 2006. The solutions include identifying null and alternative hypotheses, calculating test statistics, determining rejection regions or p-values, making rejection decisions, and drawing conclusions for three different hypothesis testing scenarios.

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Uploaded on 12/16/2006

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Download Statistical Hypothesis Testing Homework Solutions for Fall 2006, Stat 4706 - Prof. Leigh M and more Assignments Statistics in PDF only on Docsity! Stat 4706 Fall 2006 Homework 3 Solutions Total point possible: For these hypothesis testing questions, you must identify the null and alternative hypotheses using the correct parameters, show the calculation of the test statistic, identify the rejection region or calculate the p-value, state your reasoning for your rejection decision in terms of the rejection region or p-value, and write a conclusion in terms of the alternative hypothesis. 1) Workers in a large plant are expected to complete a particular task in 60 seconds. The production manager believes that the average worker is not satisfying that expectation. To examine the issue, she watches eight workers perform the task and measures their times. The times, which are assumed to be normally distributed, are 58, 53, 63, 62, 57, 55, 53, and 55. Complete a hypothesis test at a .05 level of significance to see if the average time is different from 60 seconds. (1 pt) Hypotheses: H0: H1: (1 pt) Test Statistic: (1 pt) Rejection Region: (1 pt) Decision: (1 pt) Conclusion:
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