Assignment1

Assignment1 - (d) Is the burning time of type 2 longer than...

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Stat 322/332 Experimental Design and Sampling Assignment 1 Due: Wednesday, September 24, 2008 (12:30pm in class) 1. Give short descriptions or definitions for (a) Replication; (b) Randomization; and (c) Blocking, and discuss why they are important in designed experiments. 2. The following are the burning times of flares of two different types of torch design. The design engineers are interested in comparing the mean burning times for the two types. Type 1 65.2 82.3 81.1 67.4 57.3 59.5 66.1 75.0 82.2 70.0 Type 2 67.9 59.8 75.0 72.7 86.3 77.8 62.7 85.6 69.0 82.9 (a) Define the response, factor and its levels, treatments, and experimental units. (b) Describe how a completely randomized design can be used for the experiment. (c) Is there a difference between the two types of torch?
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Unformatted text preview: (d) Is the burning time of type 2 longer than that of type 1? 3. Two concrete types (T1 and T2) were used in the construction of two test sections (blocks) of a highway. Each test section was divided into two equal-length subsections, and T1 and T2 were randomly assigned to the subsections. After ve years, a measure of road deterioration called IRI (Inter-national Roughness Index, measured in m/km) was recorded. The values for this response variable, Y , are as follows: Treatment Section T1 T2 1 6 10 2 9 14 (a) Dene the response, factors and their levels, treatments, and experimental units. (b) Is there a dierence between the two types of concrete?...
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