Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter C.3, Problem 47E
In each of Exercises C.47–C.53, we have presented a study conducted using two-way ANOVA and have displayed corresponding computer output that contains a two-way ANOVA table, cell and marginal means, and interaction plots. For each exercise, use Procedure C.1 on page C-21 to perform a two-way ANOVA at the 5% individual significance level. (Note: Assume that it is reasonable to consider the assumptions for performing a two-way ANOVA met in each case.)
C.47 Household Income. The U.S. Bureau of the Census publishes data on money income of households by race and region in Current Population Reports. Independent samples of households yielded the following data on annual household income, in thousands of dollars. We performed a two-way ANOVA on the data. Output C.7 on page C-33 shows the resulting computer output and also supplies a table of cell and marginal means. Output C.8 on page C-33. shows the interaction plots.
OUTPUT C.7 ANOVA: INCOME versus RACE, REGION
Output for Exercise C.47 (and Exercise C.77)
OUTPUT C.8
Output for Exercise C.47
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Consider an experiment to determine the effects of alcohol and marijuana on driving. Five randomly selected subjects are given alcohol to produce legal drunkenness and then are given a simulated driving test (scored from a top score of 10 to a bottom score of 0). Five different randomly selected subjects are given marijuana and then the same driving test. Finally, a control group of five subjects is tested for driving while sober. The driving test scores and the One-Way ANOVA table for these data are shown below. Test the hypothesis that there is a difference among the means of the three groups at 1% significance level.
Alcohol
Drugs
Control
3
2
8
4
6
7
2
4
8
1
4
5
3
3
6
The following is the summary statistics for the table above generated from an Excel one-way ANOVA analysis:
ANOVA
SS
df
MS
F
P-value
Between Groups
46.800
2
23.400
13.500
0.000848594
Within Groups
20.800
12
1.733
Total
67.600
14
Based on the Excel output, does there appear to be a…
An ANOVA provides the following data:
Group A's mean is 14.38; group B's mean is 11.81; group C's mean is 9.57; HSD is
2.36
What are the significant differences between these conditions?
O Group A has a significantly higher mean than group B and group C; there is no significant
difference between group B's and C's means.
O There are no significant differences among these group means.
O Groups A and B do not significantly differ, but they are both significantly higher than group C.
O Group A has a significantly higher mean than group B and group C; group B has a significantly
higher mean than group C.
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
Chapter C Solutions
Introductory Statistics (10th Edition)
Ch. C.1 - Define the following terms: a. factor b. levels of...Ch. C.1 - A three-way factorial design has Factor A at 3...Ch. C.1 - A four-way factorial design has Factor A at 2...Ch. C.1 - A three-way factorial design has Factor A at 6...Ch. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 8ECh. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 10ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...
Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - Prob. 16ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.2 - Consider a 3 4 ANOVA. a. Identify the number of...Ch. C.2 - Consider a 4 2 ANOVA. a. Identify the number of...Ch. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - In two-way ANOVA, identify what we mean by a. a...Ch. C.2 - In two-way ANOVA, what does it mean we have...Ch. C.2 - In Exercises C.31C.33, we have presented partially...Ch. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - State the null and alternative hypotheses for a...Ch. C.2 - Prob. 36ECh. C.2 - In a two-way ANOVA, why is the test for...Ch. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Referring to Exercise C.38, for which part(s) is...Ch. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - Prob. 55ECh. C.3 - Prob. 56ECh. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - Prob. 67ECh. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.4 - In an experiment with two factors, A and B, what...Ch. C.4 - If the confidence interval for the difference...Ch. C.4 - Prob. 74ECh. C.4 - Prob. 75ECh. C.4 - Let Factor A have three levels and Factor B have...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 78ECh. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 80ECh. C.4 - In Exercises C. 77-C.83. we have repeated the...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 83ECh. C.4 - Household Income. Refer to Exercise C.77. Use the...Ch. C.4 - Prob. 85ECh. C.4 - Prob. 86ECh. C.4 - Highway Signs. Refer to Exercise C.80. Use the...Ch. C.4 - Hospital Stays. Refer to Exercise C.81. Use the...Ch. C.4 - Prob. 89ECh. C.4 - Advertising and Sales. Refer to Exercise C.83. Use...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - Prob. 92ECh. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.6 - What is the purpose of blocking in a randomized...Ch. C.6 - Prob. 104ECh. C.6 - Prob. 105ECh. C.6 - Prob. 106ECh. C.6 - Answer true or false to the following statements...Ch. C.6 - Prob. 108ECh. C.6 - In randomized block ANOVA, what is meant when we...Ch. C.6 - Prob. 110ECh. C.6 - State the null and alternative hypotheses for a...Ch. C.6 - Identify, give the degrees of freedom for, and...Ch. C.6 - Prob. 113ECh. C.6 - Prob. 114ECh. C.6 - Prob. 115ECh. C.6 - Prob. 116ECh. C.6 - Prob. 117ECh. C.6 - Prob. 118ECh. C.7 - In each of Exercises C.119C.125, we have presented...Ch. C.7 - Prob. 120ECh. C.7 - Prob. 121ECh. C.7 - Prob. 122ECh. C.7 - Prob. 123ECh. C.7 - Prob. 124ECh. C.7 - Prob. 125ECh. C.7 - Prob. 126ECh. C.7 - Prob. 127ECh. C.7 - Prob. 128ECh. C.7 - Prob. 129ECh. C.7 - Prob. 130ECh. C.7 - Prob. 131ECh. C.7 - Penicillin Yields. Refer to Exercise C.121. Use...Ch. C.7 - Prob. 133ECh. C.7 - Battery Lifetimes. Refer to Exercise C.123. Use...Ch. C.7 - Prob. 135ECh. C.7 - Prob. 136ECh. C.7 - Prob. 137ECh. C.7 - Prob. 138ECh. C.7 - Prob. 139ECh. C.7 - Prob. 140ECh. C.7 - Prob. 141ECh. C.7 - Golf Ball Driving Distances. Refer to Exercise...Ch. C.7 - Prob. 143ECh. 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C.9 - Prob. 174ECh. C.9 - Prob. 175ECh. C.9 - Prob. 176ECh. C.9 - Prob. 177ECh. C.9 - Prob. 178ECh. C.9 - Prob. 179ECh. C.9 - Prob. 180ECh. C.9 - Prob. 181ECh. C - Discuss the differences between a designed...Ch. C - In a complete factorial design, how do you...Ch. C - Prob. 3RPCh. C - Prob. 4RPCh. C - Prob. 5RPCh. C - Prob. 6RPCh. C - Prob. 7RPCh. C - For a two-way ANOVA: a. List and interpret the...Ch. C - Prob. 9RPCh. C - Prob. 10RPCh. C - State the assumptions for a two-way ANOVA and...Ch. C - Prob. 12RPCh. C - Prob. 13RPCh. C - Prob. 14RPCh. C - This problem concerns multiple comparisons. a....Ch. C - Cereal Sales. Refer to Problem 13. Perform...Ch. C - Explain why it is sometimes preferable to employ a...Ch. C - For a randomized block ANOVA: a. List and...Ch. C - Prob. 19RPCh. C - Prob. 20RPCh. C - Prob. 21RPCh. C - Prob. 22RPCh. C - Prob. 23RPCh. C - Prob. 24RPCh. C - Prob. 25RPCh. C - Identify the nonparametric alternative to the...Ch. C - Explain the logic behind the Friedman test.Ch. C - Prob. 28RPCh. C - Prob. 29RPCh. C - Prob. 30RPCh. C - Prob. 31RPCh. C - Prob. 32RPCh. C - Prob. 33RPCh. C - Prob. 34RPCh. C - Prob. 35RPCh. C - Prob. 36RP
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