The General Social Survey is an annual survey given to a random selection of abo
ID: 3066893 • Letter: T
Question
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?"
In a recent year, 1066 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.)
Groups:
Less than H.S= Sample Size: 254 Sample mean: 43.3 Sample variance: 90.6
High School= Sample size: 269 Sample mean: 41.3 Sample variance: 97.7
Bachelor's= Sample size: 255 Sample mean: 42.0 Sample variance: 90.9
Graduate= Sample size: 288 Sample mean: 41.9 Sample variance: 100.5
To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the statistic
F
=
For the data from the survey, F= 1.94
Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places:
From the survey data, can we conclude that at least one of the groups differs significantly from the others in mean hours worked in a typical week.Use the 0.05 level of significance:
F
=
Variation between the samples/variation within the samplesExplanation / Answer
Anova Table:
Conclsion: Since P value =0.122> 0.05 whichis not significant at 0.05 level of significance, we fail to reject null hypothesis and From the survey data, can we conclude that all groups do not differs significantly from the others in mean hours worked in a typical week.
SOURCE OF VARIATION S.S D.F M.SS F CAL P VALUE Between groups 551.95 3 183.98 1.95 0.122 Within Groups 100973.57 1062 95.08 Total 101525.52 1065Related Questions
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