Q5. A total of 95 nurses in Greece were assessed for their depression level by administering a questionnaire called Beck Depression Inventory (BDI) (Bratis et al., 2009). A BDI score ranges from 0 to 63, where a higher score indicates a higher level of depression. The mean and SD are 8.473 and 6.573, respectively. In particular, scores > 14 indicate moderate to severe depression.

a. Perform a test to determine if the average depression score of nurses in Greece is below 14. (Use one sample t test)

b. What type of error may you commit in your conclusion derived in part a?

c. Without performing any calculation, what can you say about the p-value for your test performed in (a)?