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 typicalweek?"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, inhours per week, that were given by the respondents.)Sample Sample SamplesizeGroupsmeanvarianceLess than h.s.26542.692.7High school29942.8116.8Bachelor's29442.7100.0Graduate26241.3110.8Send data to calculatorSend data to ExcelTo 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 ANOVAtest. Such a test uses the following statistic.Variation between the samplesF =Variation within the samplesFor the data from the survey, F = 1.27.

Name: For the data from the survey, ≈F 1.27.(a)Give the numerator degrees of
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Description: 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 signi

Given, Test statistic (F) = 1.27 significance level = 0.10 k = no of groups = 4N = total sum =…

Answered: For the data from the survey, ≈F 1.27…

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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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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