Q1) The graph below shows the histogram for the number of parking spots per garage in downtown Vancouver. # of garages 8 S 4 2 T T T 0 50 100 150 200 250 # of Parking/garage a) Which statistics would you use to identify the center and spread of this distribution? Why? (5 points) b) How many modes would you classify? Explain. (5 points) Q2) A team of veterinarians wants to compare the effectiveness of two fertility treatments for dairy cows. The two treatments are in-vitro fertilization and male fertility medications. (4 points) The explanatory variable is: The response variable is: Q3) The table below shows the running distance covered by each participant in 60 minutes. Name Distance (KM) Vahid 11.2 Lexi 8.8 Eva 9.8 John 3.4 Jack 7.4 Sara 13.4 Dave 6.2 Joe 7 Sarah 12.1 Tom 4.3 5.7 Jerry Using the table above, please answer the following questions: (Please show your work for the full mark) (3 points for each) 1. Summary a. Mean: b. Variance: c. Standard deviation: d. Median 2. Using the Inclusive method at 25% a. Q1: b. Q3: c. IQR: d. Range: e. Lower Whisker limit: f. Upper Whisker limit: 3. Using the Exclusive method at 20% a. Q1: b. Q3: c. IQR: d. Range: e. Lower Whisker limit: f. Upper Whisker limit: Q4) A research team decided to test the side effect of a newly developed drug on male participants. After injecting each volunteer, the team recorded the participants' heartbeats per minute (HBP). Q5) The control group had the following HBP: 98, 96, 94, 88, 86, 82, 77, 74, 70, 60, 59, 52, 50, 47, 40, 35, 29, 13, 6, 5 The test group had the following HBP: 100, 97, 96, 97, 93, 89, 88, 84, 77, 67, 61 a) Display these data in two box-plot graphs using the inclusive method (24 points). For the full mark, indicate Q1, Q2, Q3, Mean, and both Whiskers in the graphs. Identify whether the following variables are numerical or categorical. If numerical, state whether the variable is discrete or continuous. If categorical, state whether the variable is nominal or ordinal. (22 points) 1. Number of parties attended in a year by college students 2. Petal area of rose flowers 3. Key on the musical scale 4. Heartbeats per minute of Tour de France cyclists 5. Stage of fruit ripeness (under-ripe, ripe, overripe) 6. The angle of flower orientation relative to the position of the sun 7. Letter grade on the high school report card 8. Tree species 9. Year of birth 10. Gender 11. Birth weight Q6) An institutional researcher is conducting a study of UBC students' attitudes toward community service. The researcher takes a list of all 2,242 UBC main Campus students and uses a random number generator to select 30 students whom she contacts to complete the survey. What method of sampling is the researcher using? Explain your answer (6 points) Q7) A researcher is studying the relationship between time spent studying in med school and depression rates among students. The researcher injects students with different mm levels of Vitamin B and measures the serum parathyroid hormone levels in students after each injection. which type of study is this? Explain your answer (4 Points)