SPSS #3 (1)

Because I am a person of honor and integrity, I pledge the following: The work I present here is my own. I have read and understood the honor code for the College of Arts & Sciences ( https://cas.nyu.edu/content/nyu-as/cas/academic-integrity.html ) and will uphold its standards. As pertains to this assignment, I pledge that I have not copied work from another student or allowed my work to be copied by another student. Failure to be in accordance with this policy will result in disciplinary action by the instructor, Academic Affairs and the Office of the Dean. By putting my name on this statement, I agree to pay any and all penalties that may accrue from violation of these policies. Name: Nehal Hossain TA: Amy Goltermann Date: November 8, 2023 Assignment #: 3

Question 1

Question 3 Continued

Question 1 a) The null hypothesis states that there is no difference in baseline quality of life between people who undergo cosmetic surgery for a physical problem and those who want to change their external appearance. H 0 : μ 1 = μ 2 The alternative hypothesis states that there is a difference in baseline quality of life between people who undergo cosmetic surgery for a physical problem and those who want to change their external appearance. H A : μ 1 ≠ μ 2 b) The standard error of the difference between the means is 1.332. c) Using Levene’s Test, we can determine that there is homogeneity of variance because the sig value, .482, is greater than the compared alpha value of .05 d) People who undergo cosmetic surgery for a physical problem averaged a lower baseline quality of life score ( M = 63.51, SD = 6.89) than people who elect to undergo cosmetic surgery to change their external appearance ( M = 66.55, SD = 7.00); a two-independent showed this difference was statistically significant, t (129) = 2.29, p < .05, two-tailed. Thus, we reject the null hypothesis. e) The 95% confidence interval of the data goes from .412 to 5.683. Since 0 is not within the confidence interval then this means that we can reject the null hypothesis, so we are 95% confident that there is a significant difference in baseline quality of life between people who undergo the surgery for a physical problem and those who want to change their external appearance. f) A type I error for this study would occur when rejecting the null hypothesis when it is true, suggesting no difference. A type II error would occur when failing to reject the null hypothesis when it is false, suggesting a difference. As we reject the null hypothesis based on our p-value being less than the alpha value of .05, which is also the chance of a making a Type I error, it is possible that a type I error could have been made. Question 2 a) Power = .15 b) Probability of Type II error = (1 - power) = (1 - .15) = .85 c) The sample size needed for the power of .80 is 516 participants.

Calculations Question 2