Assignment 1

# Assignment 1 - (d) Is the burning time of type 2 longer...

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Stat 322/332 Experimental Design and Sampling Assignment 1 Due: Wednesday, May 20, 2009 (10:30am 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 ﬁve 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) Deﬁne the response, factors and their levels, treatments, and experimental units. (b) Is there a diﬀerence between the two types of concrete?...
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## This note was uploaded on 06/21/2009 for the course STAT 332 taught by Professor Xu(sunny)wang during the Spring '09 term at Waterloo.

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