is an annual survey given to a random selection of about

Last updated: 6/6/2023

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 1112 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 High school Bachelor s Graduate Sample Sample Sample size mean variance 297 273 262 280 Send data to calculator F 43 2 123 7 42 2 41 5 41 8 Send data to Excel Variation between the samples Variation within the samples For the data from the survey F 1 51 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 95 4 103 4 90 7 10 10 b Give the denominator degrees of freedom of this F statistic a Give the numerator 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 urs worked in a typical OYes O No X BEE A 8 2 13