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Probability and Statistics for Engineering and the Sciences | 8th Edition | ISBN: 9780538733526 | Authors: Jay L. Devore
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Solved: The article “A Thin-Film Oxygen Uptake Test for

Chapter 1, Problem 51E

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QUESTION:

Problem 51E

The article “A Thin-Film Oxygen Uptake Test for the Evaluation of Automotive Crankcase Lubricants” (Lubric. Engr., 1984: 75–83) reported the following data on oxidation-induction time (min) for various commercial oils:

a. Calculate the sample variance and standard deviation.

b. If the observations were reexpressed in hours, what would be the resulting values of the sample variance and sample standard deviation? Answer without actually performing the reexpression.

Questions & Answers

QUESTION:

Problem 51E

The article “A Thin-Film Oxygen Uptake Test for the Evaluation of Automotive Crankcase Lubricants” (Lubric. Engr., 1984: 75–83) reported the following data on oxidation-induction time (min) for various commercial oils:

a. Calculate the sample variance and standard deviation.

b. If the observations were reexpressed in hours, what would be the resulting values of the sample variance and sample standard deviation? Answer without actually performing the reexpression.

ANSWER:

Solution:

Step 1 of 3:

The data on oxidation-induction time (min) for various commercial oils are given.

87

103

130

160

180

195

132

145

211

105

145

153

152

138

87

99

93

119

129

  1. We have to calculate the sample variance and standard deviation.
  2. We have to find the result, if the observations were re expressed in hours.

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