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and rather immobile so advertisers of arthritis medications face limitations in ways to get their messages across Currently their best modes of advertisement are commercials on daytime TV advertisements in select magazines fliers in convalescent homes and advertisements on certain Web pages Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities with a different mode of advertisement in each community The marketing managers have selected 43 days at random and are looking at the daily sales in dollars in each of the communities on each of these days Here is what they have to work with Groups TV Magazines Sample Sample Sample size variance mean 43 580 5 2097 9 43 566 8 3925 1 43 584 9 2389 0 43 558 7 1748 0 Send data to Excel Fliers Web pages Send data to calculator Suppose that the marketing managers perform a one way independent samples ANOVA test to decide if there are differences in the mean daily sales arising from the four modes of advertisement So they re assuming that the only difference among the four communities is the mode of advertisement used in it Such a test uses the following statistic Variation between the samples Variation within the samples For the information in the chart above F 2 49 F Give the p value corresponding to this value of the F statistic Round your answer to at least three decimal places b Using the 0 10 level of significance can the marketing managers conclude that the mean daily sales arising from at least one of the modes of O Yes O No X S

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