For each scenario, I need to specify the best hypothesis test to use, the number of samples (not observations), and the number of tails (=sidedness) if applicable

LIST OF SCENARIOS FOR QUESTION 1 Name: ________ a) The Broad Street run has thousands of runners each year, covering many age groups. You randomly select ten runners in each of 5 age groups (15 - 20, 21 - 25, 26 30, 31 . 35, 36 40). You wish to know if any age group runs faster than the others. b) Roughly 300 students take STA115 each semester. You wish to know if students taking STA115 in the Fall are more likely to be from HSS than students in the Spring. You ask 25 randomly selected students from each semester if they are in H55. 11 students in the Fall answer 'Yes', while 13 students in the Spring answer 'Yes'. c) You believe that head and neck tumors grow at a different rate if they have a RAS mutation than an EGFR mutation. You gather data on how fast 35 tumors with RAS mutatlons and 41 tumors with EGFR mutations grow measured as the tumor doubling time (i.e., number of days for tumor to double in size). d) Dr. No believes there is a link between likely to be mutated. He gathers 16 mic He measures whether M is mutated. genes Q and M such that if Q is mutated, M is more e, 8 with no mutation in Q and 8 with a mutation in (1. e) You have planted equal numbers of ve 5 know which species will grow best given i flowers of each specie after one year. ' pecies of a flower in the arid southwest wishing to ncreasing lack of rainfall. You record the growth of believes that these cats are not equally distributed between diff multiverse evil genius viewer, he takes a sample of 25 evil geniu that are white, black, orange, or gray. All the cats fall into one erent colors. Armed with his 5 cats and records the number of these four colors