Problem 8.6d: Select each appropriate condition from the list. Hint: See L-22 Lecture and Pdf Presentation: p 8 (Exercise 8.32b) Sample sizes must be equal Samples must be random Sample sizes must be > 30 Samples must be independent Sample means must be equal Population variances must be equal Populations must be normal Sample sizes must be > 5

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QUESTION 3
Problem 8.6d: Select each appropriate condition from
the list.
Hint: See L-22 Lecture and Pdf Presentation: p 8
(Exercise 8.32b)
Sample sizes must be equal
Samples must be random
Sample sizes must be > 30
Samples must be independent
Sample means must be equal
Population variances must be equal
Populations must be normal
Sample sizes must be > 5
Transcribed Image Text:QUESTION 3 Problem 8.6d: Select each appropriate condition from the list. Hint: See L-22 Lecture and Pdf Presentation: p 8 (Exercise 8.32b) Sample sizes must be equal Samples must be random Sample sizes must be > 30 Samples must be independent Sample means must be equal Population variances must be equal Populations must be normal Sample sizes must be > 5
Ag.
8.6 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
- 307
- 294
079
.019
-.136
-.324
B
-.176
.125
-.013
.082
.091
459
C
.137
-.063
240
-.050
318
.154
-.042
.690
201
.166
219
407
HAPTER 8 INFERENCES ABOUT MORE THAN TWO POPULATION CENTRAL VALUES
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 = .05.
c. Compute the p-value of the F test in part (b).
d. What conditions must be satisfied for your analysis in parts (b) and (c) to be valid?
e. Suppose the 24 soil samples have widely different pH values. What problems may
occur by simply randomly assigning the soil samples to the different devices?
Transcribed Image Text:Ag. 8.6 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 - 307 - 294 079 .019 -.136 -.324 B -.176 .125 -.013 .082 .091 459 C .137 -.063 240 -.050 318 .154 -.042 .690 201 .166 219 407 HAPTER 8 INFERENCES ABOUT MORE THAN TWO POPULATION CENTRAL VALUES 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 = .05. c. Compute the p-value of the F test in part (b). d. What conditions must be satisfied for your analysis in parts (b) and (c) to be valid? e. Suppose the 24 soil samples have widely different pH values. What problems may occur by simply randomly assigning the soil samples to the different devices?
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