14.0  11.0  9.0  9.0  8.0  4.0  20.0  5.0  8.9  21.0  9.2  3.0  2.0  0.3 a. Determine the value of the sample standard deviation for each sample, interpret t

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The following is data on endotoxin
concentration in settled dust both for a sample of urban
homes and for a sample of farm homes:


U: 6.0  5.0  11.0  33.0  4.0  5.0  80.0  18.0  35.0  17.0  23.0
F: 4.0  14.0  11.0  9.0  9.0  8.0  4.0  20.0  5.0  8.9  21.0  9.2  3.0  2.0  0.3

a. Determine the value of the sample standard deviation
for each sample, interpret these values, and then
contrast variability in the two samples. [Hint:
Σxi = 237.0 for the urban sample and = 128.4 for
the farm sample, and Σxi2 = 10,079 for the urban
sample and 1617.94 for the farm sample.]


b. Compute the fourth spread for each sample and compare. Do the fourth spreads convey the same message
about variability that the standard deviations do?
Explain.


c. The authors of the cited article also provided endotoxin concentrations in dust bag dust:

U: 34.0  49.0  13.0  33.0  24.0  24.0  35.0  104.0  34.0  40.0  38.0  1.0
F: 2.0  64.0  6.0  17.0  35.0  11.0  17.0  13.0  5.0  27.0  23.0  28.0  10.0  13.0  0.2

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