A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table.SampleDevice 1 2 3 4 5 6A -0.307 -0.294 0.079 0.019 -0.136 -0.324B -0.176 0.125 -0.013 0.082 0.091 0.459C 0.137 -0.063 0.240 -0.050 0.318 0.154D -0.042 0.690 0.201 0.166 0.219 0.407 a. Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devicesb. Run an analysis of variance to confirm or reject your conclusion in part (a). Use α = 0.05 2. A large laboratory has four types of devices used to determine the pH of soil samples. Thelaboratory wants to determine whether there are differences in the average readings given by thesedevices. The lab uses 24 soil samples having known pH in the study and randomly assigns six ofthe samples to each device. The soil samples are tested, and the response recorded for each sampleis the difference between the pH reading of the device and the known pH of the soil. These values,along with summary statistics, are given in the following table.SampleDevice 1-0.3072345A-0.2940.0790.019-0.136-0.324B-0.1760.125-0.0130.0820.0910.4590.137-0.0630.240-0.0500.3180.154D-0.042 0.6900.2010.1660.2190.407a. Based on your intuition, is there evidence to indicate any difference among the meandifferences in pH readings for the four devicesb. Run an analysis of variance to confirm or reject your conclusion in part (a). Use a = 0.05

Consider the given data. (a) The spread of data shows that mean of the device D is larger than that…

Answered: A large laboratory has four types of…

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter17: Subsoil Exploration

Section: Chapter Questions

Problem 17.2P

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A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table.

Sample
Device 1 2 3 4 5 6
A -0.307 -0.294 0.079 0.019 -0.136 -0.324
B -0.176 0.125 -0.013 0.082 0.091 0.459
C 0.137 -0.063 0.240 -0.050 0.318 0.154
D -0.042 0.690 0.201 0.166 0.219 0.407

a. Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices

b. Run an analysis of variance to confirm or reject your conclusion in part (a). Use α = 0.05

2. A large laboratory has four types of devices used to determine the pH of soil samples. The
laboratory wants to determine whether there are differences in the average readings given by these
devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of
the samples to each device. The soil samples are tested, and the response recorded for each sample
is the difference between the pH reading of the device and the known pH of the soil. These values,
along with summary statistics, are given in the following table.
Sample
Device 1
-0.307
2
3
4
5
A
-0.294
0.079
0.019
-0.136
-0.324
B
-0.176
0.125
-0.013
0.082
0.091
0.459
0.137
-0.063
0.240
-0.050
0.318
0.154
D
-0.042 0.690
0.201
0.166
0.219
0.407
a. Based on your intuition, is there evidence to indicate any difference among the mean
differences in pH readings for the four devices
b. Run an analysis of variance to confirm or reject your conclusion in part (a). Use a = 0.05

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