Z-Score Practice Bobby took Professor X’s Depression Test, and received a score of 15. The mean and standard deviation of Professor X’s Depression Test are 20 and 3, respectively. Hank took Jean Grey’s Depression Test, and received a score of 23. The mean and standard deviation of Jean Grey’s Depression Test are 25 and 2, respectively. Although Bobby and Hank took two different depression tests, one invented by Professor X and one invented by Jean Grey, we can still compare their z-scores from the information given. Fill in the blanks and calculate these: Bobby: Z = (x – µ)/σ = ( ___ – ___ ) / ___ = _____ Hank: Z = (x – µ)/σ = ( ___ – ___ ) / ___ = _____ Who is more depressed based on their z-scores? __________________________ Use the z-score table on Titanium for the following questions. Given Bobby’s z-score, what proportion of people are less depressed than Bobby? _____ What proportion of people are more depressed than Bobby? (Fill in the blanks.) proportion more depressed than Bobby = 1 – proportion less depressed than Bobby = 1 – _____ = _____ = _____ % Given Hank’s z-score, what proportion of people are less depressed than Hank? _____ What proportion of people are more depressed than Hank? (Fill in the blanks.) proportion more depressed than Hank = 1 – proportion less depressed than Hank = 1 – _____ = _____ = _____ % What proportion of people are between Bobby’s and Hank’s depression scores? = proportion less depressed than Bobby – proportion less depressed than Hank = _____ – _____ = _____