A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time? The table below shows the number of days to recovery for several randomly selected pneumonia patients that had various types of treatment. Use the R window to answer the question below: dat valuec(7,11,8,11,13,12,12,9,16,19,20,14,20,19,20,18, 11,19,16). catagory = c("Overnight Hospital Stay", "Overnight Hospital Stay", "Overnight Hospital Stay", "Overnight Hospital 'stay", "Overnight Hospital. stay", "Overnight Hospitai stay", "Overnight Hospital stay", "Overnight Hospital Stay", "A Few Hours in the Hospital". "A Few Hours in the Hospital", "A Few Hours in the Hospital", "A Few Hours in the Hospital", "A Few Hours in the Hospital". "Sent Hone with Medicine", "Sent Hone with Medicine", "Sent Home with Medicine-, "Sent Hone with Mediclne", "Sent Hone with Medicine", "Sent Home with Madicine"i. Run (Ctrl-Enter) You should assume that any scripts or data that you put into this senvice are public. Privacy policy. Computation provided by rdrrilo: hosting documentation for all R packages. What is the p-value of the ANOVA test? Hint: Link to Text Book A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. Use the following output to evaluate weather at least one group mean is different from the rest at the 0.1 level of significance. Fail to reject the null hypothesis, there is not sufficient evidence to conclude that the at least one group mean is different from the rest. Reject the null hypothesis, there is not sufficient evidence to conclude that the at least one group mean is different from the rest. Reject the null hypothesis, there is sufficient evidence to conclude that the at least one group mean is different from the rest. Fail to reject the null hypothesis, there is sufficient evidence to conclude that the at least one group mean is different from the rest