An industrial concern has experimented with several different mixtures of the four components—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise a rocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions .40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists of a blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture) are prepared and tested to obtain the flare-illumination values. These data appear here (in units of 1,000 candles).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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An industrial concern has experimented with several different mixtures of the four
components—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise a
rocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions
.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists of
a blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)
are prepared and tested to obtain the flare-illumination values. These data appear here (in units
of 1,000 candles).
Mixture 1 185 192 201 215 170 190 175 172 198 202
Mixture 2 221 210 215 202 204 196 225 230 214 217
a. Plot the sample data. Which test(s) could be used to compare the mean
illumination values for the two mixtures?
b. Give the level of significance of the test and interpret your findings

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