2021_assign... PSYC 2021 - Statistical Methods I Assignment #2 57% 03:48 Due Date: November 22, 2018, 11:59 pm Submission: The assignment must be submitted through Moodle, and only pdf files will be accepted. Be sure that all of the info for each question is together in the document (we will not be hunting all through your document to find R code, hand calculations, etc.). Note: Solve all questions using R, unless it is specified that they must be completed by hand. Where it is necessary to show R code and output, please copy and paste from the Console window. Question 1 a) Create a normally distributed 'population' of 100000 cases with a mean () of 50 and a standard deviation (o) of 8, and call it 'pop'. This is your pretend population. b) Take a sample of size N = 30 (without replacement) from the population, and call it 'samp'. c) Pretend to give your sample an intervention. More specifically, add a normally distributed variable with = 5 and 5 (call it 'inter') to your sample ('samp'). Call this new variable 'inter_samp'. d) Use null hypothesis testing (all steps, a = .05) to determine if your intervention was effective at increasing scores. Be sure to interpret (even if it is purely subjective) the magnitude of the effect size and the confidence interval width, and include a general summary of the results. Question 2 Dr. White asked 400 students to choose between five characteristics of an instructor that they find most important. The characteristics that they had to choose among were (dataset codes in parentheses): 1) enthusiasm (enthusiasm); 2) humour (humour); 3) level of difficulty (difficulty); 4) clarity (clarity); or 5) caring attitude (caring). The dataset (available on Moodle) is entitled 'ass2_q2.csv'. Use a = .01 for the questions below. a) Use null hypothesis testing (all steps) to determine if enthusiasm, humour, level of difficulty, clarity and caring attitude are not equally important in terms of being the most important characteristic of a good instructor. Be sure to interpret the effect size (again, even if it is purely subjective) and include a general summary regarding the results. b) What Dr. Black was really interested in was whether enthusiasm or level of difficulty differed in terms of the frequency with which they are chosen as a characteristic that students value in an instructor. Using only students who chose one of these two options (enthusiasm, difficulty), use R to generate a table of frequencies for each of the two options. Then, BY HAND, use null hypothesis testing (all steps) to determine if students differed in their preference for enthusiasm or level of difficulty as their most important characteristic. Calculate the p-value and/or critical value using R. Be sure to (subjectively) interpret the effect size and include a general summary statement regarding your results.