1) Open data labeled Cosmetic Surgery Revised in NYU Classes (Resources > SPSS Assignments > SPSS Assignment Data > Cosmetic Surgery Revised C). In the US, there was a 1600% increase in cosmetic surgical and non-surgical treatments between 1992 and 2002. With the increasing popularity of this surgery, many people are starting to question the motives of those who want to go under the knife. There are two main reasons to have cosmetic surgery: 1) to help with a physical problem and 2) to change one's external appearance. This data looks at whether there is a difference in depression between people who elect to undergo cosmetic surgery for a physical problem and those who want to change their external appearance. The two variables you need are Reason (reason for surgery) and BDI (Beck Depression Inventory; higher number mean greater depression). Here are the basic cutoffs for the BDI: 09: indicates minimal depression 1018: indicates mild depression 1929: indicates moderate depression 3063: indicates severe depression Using SPSS, calculate a t-test and the 95% CI for the difference in BDI between people who undergo the surgery for a physical problem and those who want to change their physical appearance, just as you did in lab. Print out the group statistics box and the t-test portion for your output. Answer the following questions: a) In symbols and words, what are the null and alternative hypotheses for this experiment? b) What is the standard error of the difference between the means (assume equal variances for this question)? c) Using Levene's test, do we have homogeneity of variance? How do we know? (1) What is the conclusion (assume equal variances for this question)? Write up the results in APA format. e) What is the 95% confidence interval for these data (assume equal variances for this question)? How would you determine signicance using this interval? f) Explain what a Type I and Type II error would be for this study. Which one did we possibly make