The General Social Survey is an annual survey given to a random selection of abo

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, 1106 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 Groups Less than h.s High school Bachelor's Graduate 291 284 263 268 41.4 42.6 42.7 43.0 vanance 83.0 85.8 108.7 92.1 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 statistic Variation between the samples Variation within the samples For the data from the survey, F1.53 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 0.01 level of significance. O Yes O No

Explanation / Answer

Ans:

For above data:

F=1.53

Number of groups,k=4

df(numerator)=4-1=3

Total number of subjects,N=1106

df(denominator)=N-k=1106-4=1102

p-value=FDIST(1.53,3,1102)=0.205

As,p-value>0.01,we fail to reject null hypothesis.

We can not conclude that atleast one of the groups differs significantly from the others in mean hours worked in a typical week.

No

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