1. The U.S. is divided into four census regions: Northeast (Region=1), Midwest (Region=2), South (Region=3), and West (Region=4). The 2012 Current Population Survey, conducted by the U.S. Census Bureau, asked a sample of n = 132,747 households how many computers they own. Here are the sample means from SPSS. Region 1 2 3 4 Mean Computers 1.70 1.58 1.49 1.68 Does mean household computer ownership differ across those four regions? a) Specify the null and alternative hypotheses for an ANOVA test. N 26711 30910 41245 33881 b) In the following SPSS output, circle the test statistic. Between Groups Within Groups Total Sum of Squares 1017.029 143453.994 144471.023 ANOVA df Mean Square 339.010 1.081 3 132743 132746 F 313.697 Sig. 000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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1. The U.S. is divided into four census regions: Northeast (Region=1), Midwest (Region=2), South
(Region=3), and West (Region-4). The 2012 Current Population Survey, conducted by the U.S. Census
Bureau, asked a sample of n = 132,747 households how many computers they own. Here are the sample
means from SPSS.
Region
1
2
3
4
Mean
Computers
1.70
1.58
1.49
1.68
Does mean household computer ownership differ across those four regions?
a) Specify the null and alternative hypotheses for an ANOVA test.
N
26711
30910
41245
33881
b) In the following SPSS output, circle the test statistic.
Between Groups
Within Groups
Total
Sum of Squares
1017.029
143453.994
144471.023
ANOVA
df
3
132743
132746
Mean Square
339.010
1.081
c) Circle your conclusion: Reject Ho/Do not reject Ho
F
313.697
Sig.
.000
Transcribed Image Text:1. The U.S. is divided into four census regions: Northeast (Region=1), Midwest (Region=2), South (Region=3), and West (Region-4). The 2012 Current Population Survey, conducted by the U.S. Census Bureau, asked a sample of n = 132,747 households how many computers they own. Here are the sample means from SPSS. Region 1 2 3 4 Mean Computers 1.70 1.58 1.49 1.68 Does mean household computer ownership differ across those four regions? a) Specify the null and alternative hypotheses for an ANOVA test. N 26711 30910 41245 33881 b) In the following SPSS output, circle the test statistic. Between Groups Within Groups Total Sum of Squares 1017.029 143453.994 144471.023 ANOVA df 3 132743 132746 Mean Square 339.010 1.081 c) Circle your conclusion: Reject Ho/Do not reject Ho F 313.697 Sig. .000
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