For the data from the survey,  ≈F 1.27 . (a)Give the numerator degrees of freedom of this F statistic.   (b)Give the denominator degrees of freedom of this F statistic.   (c)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  0.10  level of significance.

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For the data from the survey, 
≈F 1.27
.
(a)Give the numerator degrees of freedom of this F statistic.
 
(b)Give the denominator degrees of freedom of this F statistic.
 
(c)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 
0.10
 level of significance.
 
Yes
 
 
No
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, 1120 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.)
Sample Sample Sample
size
Groups
mean
variance
Less than h.s.
265
42.6
92.7
High school
299
42.8
116.8
Bachelor's
294
42.7
100.0
Graduate
262
41.3
110.8
Send data to calculator
Send data to Excel
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 following statistic.
Variation between the samples
F =
Variation within the samples
For the data from the survey, F = 1.27.
Transcribed Image Text: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, 1120 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.) Sample Sample Sample size Groups mean variance Less than h.s. 265 42.6 92.7 High school 299 42.8 116.8 Bachelor's 294 42.7 100.0 Graduate 262 41.3 110.8 Send data to calculator Send data to Excel 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 following statistic. Variation between the samples F = Variation within the samples For the data from the survey, F = 1.27.
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