l. (20 points) A biochemist at a company that makes nutritional supplements is studying the effects of a new multivitamin called Provasic on foot speed. First. she limes 20 volunteers in a lOO-meter dash. Then, she instructs them to take Provasic once a day for 30 days and to eat and exercise as they normally would. After the 30-day period, the volunteers each returned to the lab, and they again each ran a 100-meter dash. The loo-meter dash times (please assume that they are sampled from a normal distribution) are: ________..___ 100m Time Before 100m time after Volunteer Provasic vaasie l 19.45 18.17 2 14-63 14.49 3 15 .49 15.09 4 15.23 14.66 5 17.30 16.35 6 19.22 17.98 '1 16.68 16.0? 8 14.03 14.20 9 19.53 18.29 10 19.63 18.32 I l 21 .97 20.68 12 19.68 19.23 13 24.04 23.94 14 22.38 21.40 15 24.14 24.25 16 23.21 21.69 17 21 .7? 20.03 18 16.33 15.50 19 20.55 19.45 20 13.?0 14.09 ______________ Please perform a six-step hypothesis test