12.24 Perceptions of social media. It is estimated that more than 90% of North American students use social media. This has prompted much research on the mental health impacts of these technologies. In one study, researchers investigated how mental health workers perceive the association between social media and mental disorders. A sample of psychiatrists from Canada completed a questionnaire, from which a perception score was obtained (a higher score indicating a stronger perceived association). The following ANOVA table summarizes a comparison of these scores across three age groups (generations).

SourceDFSSMSF
Age2137.7868.890.45
Error456899.54153.32
Total477037.32
  1. (a) How many psychiatrists completed the questionnaire?

  2. (b) What is the estimated common standard deviation?

  3. (c) What is the P-value? Make sure to specify the degrees of freedom of the F statistic.

  4. (d) State your conclusion using the P-value from part (c) and a 5% significance level.