The deflection temperature under load for two different types of plastic pipe is beinginvestigated. Two random samples of 15 pipe specimens are tested, and the deflectiontemperatures observed are as follows (in oF):Type 1: 206, 188, 205, 187, 194, 193, 207, 185, 189, 213, 192, 210, 194, 178, 205.Type 2: 177, 197, 206, 201, 180, 176, 185, 200, 197, 192, 198, 188, 189, 203, 192.1. Determine the coefficient of dispersion of each type of plastic pipe.2. Interpret the results.Compare the SDUS of the 10th observation in each type. What conclusion can youmake?

Type 1 Type 2 206 177 188 197 205 206 187 201 194 180 193 176 207 185 185 200 189…

Answered: The deflection temperature under load…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type 1: 206, 188, 205, 187, 194, 193, 207, 185, 189, 213, 192, 210, 194, 178, 205 Type 2: 177, 197, 206, 201, 180, 176, 185, 200, 197, 192, 198, 188, 189, 203, 192 (a) Construct box plots and normal probability plots for the two samples. Do these plots provide support of the assumptions of normality and equal variances? (b) Do the data support the claim that the deflection temperature under load for type 1 pipe is different than that of type 2? In reaching your conclusions, use α = 0.05. Calculate a P-value. (c) If the mean deflection temperature for type 1 pipe exceeds that of type 2 by as much as 5°F, it is important to detect this difference with probability at least 0.90. Is the choice of n1=n2=15 adequate? Use α = 0.05.
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