LABORATORY 9 CHI SQUARE NOTE: This lab is out of 7 and is due at the end of the lab time. Assignment 9 1. (1 mark). It is suspected that the starting lane they are allocated influences the chance of runners winning at a certain racetrack. To test this possibility wins from each lane are noted over some time and these data are given below. Assuming runners are allocated randomly to each lane. Do these data support the suspicion? Note: You need to assume that each lane would have the same probability of winning the race. The total number of winsumber of lanes. Then compare observed vs expected. 0.5 marks for calculation, 0.5 mark for the conclusion. LANE 2 3 5 # of Wins 161 117 94 123 80 2. (2 marks) A teacher in an athletic administration class asked students if they thought an equal amount of money should be allocated to both men's and women's athletic programs. The men responded with 40 yes answers and 60 no answers. The women said yes 30 times and no 20 times. What can be concluded about the opinion of men and women students on this issue? 1.5 marks for calculation, 0.5 marks for conclusions of the men & women students in this issue. 3. (1 mark) A woman has a severe cold, which has been hanging on for days. She reads in a health magazine that massive dosages of vitamin C are good for colds and takes the recommended dosage. Within 24 hours her cold is gone. She concludes that vitamin C is, indeed, helpful in getting rid of a cold. Is this conclusion appropriate? If not, why not? HINT: Use your knowledge from KINE 2049, think about whether this woman properly performed this experiment. Explain your reasoning 4. (3 marks) A sample of 24 students was classified as to whether they generally did or did not attend class. At the end of the semester, each student either passed or failed; of the 16 who passed, 14 were attenders, while only 3 attenders failed. Is attendance related to failure? a) identify the independent variable (0.5 marks) b) identify the dependent variable (0.5 marks) c) state the null hypothesis being tested (1 mark) d) complete the analysis at 0.05 confidence level and interpret the result (1 mark)