spr05_ex1

# spr05_ex1 - STA 6127 Exam 1 Spring 2005 PRINT NAME The...

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STA 6127 – Exam 1 – Spring 2005 PRINT NAME__________ The following 3 problems are based on the following information A lacrosse coach is interesting in comparing 3 brands of lacrosse helmets before choosing a brand for her college team. She has researchers in her college’s medical school measure the shock absorption of each brand based on 8 replicates per brand. They report the following means and standard deviations for the experiment (low measurements are better, implying stronger shock absorption): Brand Mean S.D. A 8.0 2.0 B 11.0 3.0 C 11.0 2.0 1. Give the between brand sum of squares. 2. Give the within brand sum of squares: 3. The minimum significant difference based on Bonferroni’s method is B ij =2.72 . What can she say about the true means with an experimentwise error rate of α E =0.05? Note that we obtain B ij as: 72 . 2 1 1 ^ ), 2 ( 3 / 05 . 0 = + = - j i g N ij n n t B σ a) Brand A is better than B and C, B and C are not significantly different. b) Cannot conclude that any of the brands are significantly different c) Brand A is worse than B and C, B and C are not significantly different 4. One-Way ANOVA provides relatively more evidence that: H 0 : μ 1 =...=μ g is false when: a)

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• Spring '08
• Mukherjee
• Statistical hypothesis testing, researcher, Household income in the United States, shock absorption, following predictor variables

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