7. Describe a new outcome variable that would be measured at the interval or ratio level (scaled data). a. Create a scale that measures your outcome variable. Show the scale and its points. b. Suppose you are comparing two sub-groups of clients on this one variable (scale) that differ on a demographic variable. For example, you might compare clients of color and those who are not; male and female clients; or clients with a history of substance use disorder or not. Use your imagination when you identify the two sub-groups. There should be a good reason to compare these two sub- groups. c. What two sub-groups are you comparing? Why might this be important to do? d. Suppose group 1 has a much smaller mean on this variable than group 2, but a much larger standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. e. Now suppose that group 1 has a much larger mean on this variable than group 2, but a much smaller standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. f. Now suppose that group 1 and group 2 have very similar means, but group 1 has a much smaller standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. 8. Suppose you converted this scaled data into four rank-ordered sub-groups. a. Show me the cut-off criteria you would use for the four sub-groups. b. What level of measurement would you use for this new variable? Why? c. What measure of central tendency would you use for this new variable? Why? d. Does it make sense to use a measure of dispersion on this new variable? Why or why not? 7. Describe a new outcome variable that would be measured at the interval or ratio level (scaled data). a. Create a scale that measures your outcome variable. Show the scale and its points. b. Suppose you are comparing two sub-groups of clients on this one variable (scale) that differ on a demographic variable. For example, you might compare clients of color and those who are not; male and female clients; or clients with a history of substance use disorder or not. Use your imagination when you identify the two sub-groups. There should be a good reason to compare these two sub- groups. c. What two sub-groups are you comparing? Why might this be important to do? d. Suppose group 1 has a much smaller mean on this variable than group 2, but a much larger standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. e. Now suppose that group 1 has a much larger mean on this variable than group 2, but a much smaller standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. f. Now suppose that group 1 and group 2 have very similar means, but group 1 has a much smaller standard deviation than group 2. i. Create two graphs that show these results (one for group 1 and one for group 2). ii. Summarize what these results and graphs mean. 8. Suppose you converted this scaled data into four rank-ordered sub-groups. a. Show me the cut-off criteria you would use for the four sub-groups. b. What level of measurement would you use for this new variable? Why? c. What measure of central tendency would you use for this new variable? Why? d. Does it make sense to use a measure of dispersion on this new variable? Why or why not