6167SU09HW3 - STA 6167 Homework Assn #3 Summer 2009 1....

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STA 6167 Homework Assn #3 Summer 2009 1. Achievement test scores in reading were obtained from the students in all the middle schools in a district. The students were taught by various teachers. Data are contained in files named “qualscores.” a. Construct an analysis of variance table for the data. Source of Variation df SS MS ExpMs School Teacher(School) Student(Teacher School) b. Write a statistical model for the data. Take the schools to be “fixed” and teachers to be “random.” Describe assumptions for all terms in the model. c. Construct a test for significance of overall differences between schools. Write the null and alternative hypotheses. d. Construct a 95% confidence interval for school number 10 assuming teachers are “random.” e. Construct a 95% confidence interval for school number 10 assuming teachers are “fixed.” How do the results compare with those in problem 4? f. Construct a 95% confidence interval for the difference between schools 10 and 11 assuming teachers are random.
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2. Recall the nested data from microbial counts from your “Nested Classifications” class notes: A food microbiologist investigated the “microbial loads” of ground beef in a super market. He
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6167SU09HW3 - STA 6167 Homework Assn #3 Summer 2009 1....

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