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# exam1_06s - MATH202 Spring 2006 Exam 1a Instructions 1 Do...

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MATH202 Spring 2006 Exam 1a Instructions: 1. Do not start until instructed to do so. 2. If you brought a cell phone by mistake, turn it off and place it under your seat. You may NOT use it as a calculator. 3. You may use a calculator (NOT a cell phone calculator) and a 3x5 card (front and back) with notes, but nothing else. 4. Code your UDelNet ID in the Last Name space on your scansheet and fill in the bubbles. 5. Write your name in the white space below the name box on your scansheet. 6. DO NOT put any part of your Social Security Number on your scansheet. 7. Choose the best answer to each question. 8. Use α = .05.

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Questions 1 – 4 : A completely randomized experiment measured weight gain (in grams) of male rats under six diets varying by source of protein (beef, cereal, pork) and level of protein (high, low). Ten rats were randomly assigned to each diet. Some data analyses are shown below. General Linear Model: weight_gain versus ProSource, ProLevel Analysis of Variance for weight_gain Source DF SS MS F P ProSource 266.5 0.541 ProLevel 3168.3 0.000 ProSource*ProLevel 0.073 Error 11586.0 Total 16198.9 S = 14.6477 R-Sq = 28.48% R-Sq(adj) = 21.85% Tukey 95.0% Simultaneous Confidence Intervals Response Variable weight_gain All Pairwise Comparisons among Levels of ProSource ProSource = beef subtracted from: ProSource Lower Center Upper ------+---------+---------+---------+ cereal -15.87 -4.700 6.469 (----------*----------) pork -11.67 -0.500 10.669 (-----------*----------) ------+---------+---------+---------+ -10 0 10 20 ProSource = cereal subtracted from: ProSource Lower Center Upper ------+---------+---------+---------+ pork -6.969 4.200 15.37 (----------*----------) ------+---------+---------+---------+ -10 0 10 20 Tukey 95.0% Simultaneous Confidence Intervals Response Variable weight_gain All Pairwise Comparisons among Levels of ProLevel ProLevel = high subtracted from: ProLevel Lower Center Upper -------+---------+---------+--------- low -22.12 -14.53 -6.951 (------------*-----------) -------+---------+---------+--------- -18.0 -12.0 -6.0 1. What are the factors? a. beef, cereal, pork b. high, low c. protein source, protein level d. the six diets e. both a and b 2 ProSource ProLevel low high 100 95 90 85 80 pork cereal beef 100 95 90 85 80 ProSource pork beef cereal ProLevel high low I nteraction Plot (data means) for weight_gain
2. Find the value of the F-statistic for the test for interaction between protein source and protein level. 3. What does “interaction” mean in this problem?

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