CASE STUDY II. Vitamin May Affect the Weight Gain? A scientist wants to see if the...
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CASE STUDY II. Vitamin May Affect the Weight Gain? A scientist wants to see if the type of four vitamin supplements (A, B, C, D) affects the weight gain (y in grams) of laboratory animals. The experiment was conducted in a completely randomized design with five separately caged animals for each treatment. Since the caloric intake (z in calories/10) will differ among animals and influence y, she wants to take this variable into account in the analysis. The data are given in the following table: Supplement Y I A 48 35 A 67 44 A 78 44 A 69 51 A 53 47 Supplement B B B B B y * 65 40 9 33 49 45 37 73 53 37 63 42 Supplement y I 79 51 52 41 63 47 65 47 67 48 00000 C C C с Supplement Y I D 59 53 D 50 52 D 59 52 D 42 51 D 34 43 Let the significance level = 0.05. For each of the following questions, include the necessary out- put/plots/numbers to answer the questions and give a complete commentary on the results, written in report style: (a) Identify the following in terms of the above study. Be as specific as possible: • Experimental unit(s) • Population(s) • Sample(s) • Variables identify which are response(s), and which are explanatory and classify each as quantitative or categorical. • Factor(s) and their levels. What are the treatments and how many are there? • Is this study experimental or observational? Justify. • Is the design balanced or unbalanced? Justify. CASE STUDY II. Vitamin May Affect the Weight Gain? A scientist wants to see if the type of four vitamin supplements (A, B, C, D) affects the weight gain (y in grams) of laboratory animals. The experiment was conducted in a completely randomized design with five separately caged animals for each treatment. Since the caloric intake (z in calories/10) will differ among animals and influence y, she wants to take this variable into account in the analysis. The data are given in the following table: Supplement Y I A 48 35 A 67 44 A 78 44 A 69 51 A 53 47 Supplement B B B B B y * 65 40 9 33 49 45 37 73 53 37 63 42 Supplement y I 79 51 52 41 63 47 65 47 67 48 00000 C C C с Supplement Y I D 59 53 D 50 52 D 59 52 D 42 51 D 34 43 Let the significance level = 0.05. For each of the following questions, include the necessary out- put/plots/numbers to answer the questions and give a complete commentary on the results, written in report style: (a) Identify the following in terms of the above study. Be as specific as possible: • Experimental unit(s) • Population(s) • Sample(s) • Variables identify which are response(s), and which are explanatory and classify each as quantitative or categorical. • Factor(s) and their levels. What are the treatments and how many are there? • Is this study experimental or observational? Justify. • Is the design balanced or unbalanced? Justify.
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