2. Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 Ib, the sample of regular Pepsi has a mean weight of 0.82410 Ib. and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equal- ity of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Minitab
Source
Factor
Adj ss
0.047979
0.004451
DF
Adj MS
0.015993
0.000032
F-Value
503.06
P-Value
3
0.000
Error
Total
140
143
0.052430
2. Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has
a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the
sample of regular Pepsi has a mean weight of 0.82410 lb. and the sample of Diet Pepsi has a
mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equal-
ity of the four sample means, can we then conclude that any of the specific samples have means
that are significantly different from the others?
3. Cola Weights For the analysis of variance test described in Exercise 1, is that test left-tailed,
right-tailed, or two-tailed?
4. Cola Weights Identify the value of the test statistic in the display included with Exercise 1.
In general, do larger test statistics result in larger P-values, smaller P-values, or P-values that
are unrelated to the value of the test statistic?
5. Cola Weights The displayed results from Exercise I are from one-way analysis of variance.
What is it about this test that characterizes it as one-way analysis of variance instead of two-way
analysis of variance?
6. One-Way ANOVA In gencral, what is onc-way analysis of variance used for?
7. One vs. Two What is the fundamental difference between one-way analysis of variance and
two-way analysis of variance?
Transcribed Image Text:Minitab Source Factor Adj ss 0.047979 0.004451 DF Adj MS 0.015993 0.000032 F-Value 503.06 P-Value 3 0.000 Error Total 140 143 0.052430 2. Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the sample of regular Pepsi has a mean weight of 0.82410 lb. and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equal- ity of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others? 3. Cola Weights For the analysis of variance test described in Exercise 1, is that test left-tailed, right-tailed, or two-tailed? 4. Cola Weights Identify the value of the test statistic in the display included with Exercise 1. In general, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to the value of the test statistic? 5. Cola Weights The displayed results from Exercise I are from one-way analysis of variance. What is it about this test that characterizes it as one-way analysis of variance instead of two-way analysis of variance? 6. One-Way ANOVA In gencral, what is onc-way analysis of variance used for? 7. One vs. Two What is the fundamental difference between one-way analysis of variance and two-way analysis of variance?
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