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Mathematics
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Social Statistics Managing
Quiz 6: Using Multiple Sample Means to Talk About Populations: T-Tests and Anova
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Question 21
Multiple Choice
Barker conducted his research on dogs at which workplace?
Question 22
Multiple Choice
Barker used which statistical technique in his research on dogs at work?
Question 23
Multiple Choice
Barker found that the employees who usually brought their dogs to work but during the period of his study left their dogs at home experienced:
Question 24
Multiple Choice
The textbook suggests, in trimming down the t-test SPSS output, to delete which test results:
Question 25
Multiple Choice
The textbook suggests, when running an ANOVA, to ask SPSS to give you:
Question 26
Essay
A common belief is that gay men realize their same-sex attraction earlier in life than lesbian women do. In the 2008GSS, they asked those attracted to their same sex at which age they were first attracted, and here are the results:
Ā MenĀ
Ā WomenĀ
Ā MeanĀ AgeĀ
16.82
18.92
Ā StandardĀ DeviationĀ
7.92
10.28
Ā SampleĀ SizeĀ
28
46
\begin{array}{lcc} & \text { Men } & \text { Women } \\\text { Mean Age } & 16.82 & 18.92 \\\text { Standard Deviation } & 7.92 & 10.28 \\\text { Sample Size } & 28 & 46\end{array}
Ā MeanĀ AgeĀ
Ā StandardĀ DeviationĀ
Ā SampleĀ SizeĀ
ā
Ā MenĀ
16.82
7.92
28
ā
Ā WomenĀ
18.92
10.28
46
ā
Run a t-test using these sample results and fully interpret your findings.
Question 27
Essay
Catholics historically have been stereotyped as having a bar-going culture, more so than Protestants. Here are some statistics from GSS2008:
Ā CatholicsĀ
Ā ProtestantsĀ
Ā MeanĀ TimesĀ PerĀ MonthĀ GoĀ toĀ aĀ BarĀ
1.56
1.18
Ā StandardĀ DeviationĀ
4.02
3.35
Ā SampleĀ SizeĀ
301
681
\begin{array}{lll} & \text { Catholics } & \text { Protestants } \\\text { Mean Times Per Month Go to a Bar } & 1.56 & 1.18 \\\text { Standard Deviation } & 4.02 & 3.35 \\\text { Sample Size } & 301 & 681\end{array}
Ā MeanĀ TimesĀ PerĀ MonthĀ GoĀ toĀ aĀ BarĀ
Ā StandardĀ DeviationĀ
Ā SampleĀ SizeĀ
ā
Ā CatholicsĀ
1.56
4.02
301
ā
Ā ProtestantsĀ
1.18
3.35
681
ā
So GSS2008 Catholics do go to bars more frequently than Protestants, but run a t-test to see if this is a significant difference.
Question 28
Essay
Interested in whether having young children causes one to go the public library more often, we run a t-test using the following statistics:
Ā DonātĀ HaveĀ SmallĀ ChildĀ
Ā HaveĀ SmallĀ ChildĀ
Ā MeanĀ #Ā timeĀ toĀ libraryĀ
9.57
11.89
Ā StandardĀ DeviationĀ
24.17
27.70
Ā SampleĀ SizeĀ
1250
227
\begin{array}{lcc} & \text { Don't Have Small Child } & \text { Have Small Child } \\\text { Mean \# time to library } & 9.57 & 11.89 \\\text { Standard Deviation } & 24.17 & 27.70 \\\text { Sample Size } & 1250 & 227\end{array}
Ā MeanĀ #Ā timeĀ toĀ libraryĀ
Ā StandardĀ DeviationĀ
Ā SampleĀ SizeĀ
ā
Ā DonātĀ HaveĀ SmallĀ ChildĀ
9.57
24.17
1250
ā
Ā HaveĀ SmallĀ ChildĀ
11.89
27.70
227
ā
This is not a statistically significant difference. Assuming all the other results remain the same, find the smallest possible mean difference that WOULD give you a statistically significant difference.
Question 29
Essay
If our two variables are race and income, describe a research question that would lead you to use a t-test, and another research question that would lead you to use ANOVA.
Question 30
Essay
If our two variables are race (whites and blacks) and religiosity, describe a research question that would lead you to use a t-test, and another research question that would lead you to use chi-square.