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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

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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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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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