I understand this might take a bit, any help would be nice. thank you.

The Scenario: After passing data management {with ying colours of course) and graduating high school. you head off for your post-secondary education. There, after getting through rst-year, you are offered a position as a teaching assistant for a professor in your program running one of the tutorial sections for a rst-year course. Your tutorial section contains 22 students while the entire class oontains 200 students. Help your professor out by completing the following tasks. TASK 1 After a recent mid-tenn test, you are tasked with doing some statistical analysis on the results. Below are the results for the 22 students in your tutorial group: m-\"mmmmmmm \"Em-m a} Create a class interval table for this data. with 6 intervals of equal width. b} Graph the histogram by hand or using graphing software. complete with appropriate labels. c] Calculate the mean and standard deviation of the mid-term results of the students from your tutorial section as a sample of the entire class. You may use technology to help. d} Assume that the students in your tutorial section are representative of the class of 200 students as a whole. i. What percentage of students in the entire course would you expect to fail (score below a 5Q] the mid-tem1 test? ii. How many students in the course would you expect to be at an 30 or above and therefore be on track to get on the dean's list? TASK 2 As part of the course, your 22 students need to do a group project in partners and present their ndings to their classmates in the tutorial section. Five groups will present on the rst day and six groups will present on the second day. a} Cooper, a student in the class, mentions to you that he will not be present for the second day of presentations due to an appointment. What are the odds that his group will be chosen for the rst day of presentations by random chance? b} How many ways could the presentation order for this project be picked overall? c) How many ways oould the presentation order for day 1 be picked? TASK 3 As part of your position, you assist the professor in some research that is being done into tuition fees in Ontario. Below are the average tuition fees charged by post- secondary institutions in Ontario over the last several school years, based on the date the school year began: Tuitlon rs 5 155 5 333 a} Which of the above variables is independent and which is dependent? b} Classify each of the above as continuous, discrete, ordinal, or nominal data. Explain your choices. c} Using graphing software, create a scatter plot of the data, including a line-of- best-t. d} Use the linear regression equation to estimate the tuition fees in Ontario in the year 2950'. e} How valid is your estimate from part d? Explain your answer with reference to the correlation coefcient and its meaning. TASK 4 As a fun way to wind up the semester, the professor holds a team-based trivia tournament to review the course material. Each tutorial section sends 6 random students to represent their section in the toumament. a} What is the probability that you will be chosen as one of the 6 representatives from your tutorial section? b} How many ways could the 6 representatives be chosen from your tutorial section of 22 students? c} Your tutorial section contains 9 male and 13 female students. What is the probability that the trivia team contains an equal number of males and females? TASK 5 Part of a student's mark comes from their contributions to discussion in the tutorial. You are required to grade students on wl'retl'ier they meet expectations or do not meet expectations. From experience, your professor tells you that in the past roughly 33% of students will pass this component of the course. a} If the average holds true for this year as well, how many of your 22 students can you expect will meet expectations? b} What is the probability that every student in your tutorial will meet expectations? c) What is the probability that your tutorial section will exceed a 90% (meaning at least 20 of the 22 students} pass rate of students meeting expectations? TASK 6 During the nal exam, you are one of the proctors that helps the professor supervise the students and answer any questions they might have. a} You see a student. Jane. who is 3 rows in front of you and 3 rows to the left raise her hand. How many different pathways could you take to reach Jane's desk and answer her question? b} Jane, just like many other students, struggles to remember the direction of skew for probability distributions. Explain the differences between a normal. left- skewed. and right-skewed distribution to her so that she could recognize each type when she sees it. Make sure you reference all 3 measures of oentral tendency and draw a diagram in your explanation. TASK T At the end of the course, students are required to ll out a survey regarding their satisfaction with the course and the professor. To make things impartial. the professor asks you to create the survey and administer it to all students in the entire oourse. a} Does this represent a sample or a population? Explain. b} Create 3 survey questions of different styles that would be appropriate as part of this study. For each question, explain why it would not result in any bias