Question

1. Twenty volunteers at a cold research institute caught a cold after having been exposed to various cold viruses. Ten of the volunteers were randomly selected to receive tablets containing 1 gram of vitamin C. These tablets were taken four times a day. The control group, consisting of the other 10 volunteers, was given placebo tablets that looked and tasted exactly like the vitamin C ones. This was continued for each volunteer until a doctor, who did not know whether one volunteer was receiving vitamin C or the placebo, decided that the volunteer was no longer suffering from the cold. The length of time the cold lasted was then recorded. At the end of the experiment, the following data resulted: Treated With Vitamin C Treated With Placebo 5.5 6.0 6.5 6.0V 7.0 8.5 6.0 7.0 7.5 7.5 6.5 7.5 5.5 6.5 7.0 7.5 6.5 6.0 6.0 8.0 Is there sufficient evidence to conclude that the mean time for patients treated with vitamin C is less than the mean time for the patients treated with placebo? Use a .05.

Answer 1

oution Giver Af witamin с - в E2 5.5 6 64 7.5+ +6 Меan Cx): 64.5 :6.45 ЕC *;-*) р-] (5-5-645)4 +(6-6.45) 10 5. да5 О. 5806 S1 0.5806 0 162 Wit placeto :- sВ 61568 5 Мear C*) t8 Ю н0 Ч 10

N- C6-5- (8-) 10- 6.5 S 0.2a2 0.8498 0.850 HypofegS Mean time fo paientS vitamin vented C iS less ttar Hme fox te te mean theoted coit place bo at paHers d 0 05 Test StatisHc (t) - we knoo at

645-7) -0 0 5806 0.13028 -0.55 O36094308 9- df n2. n2-1 0 5806 10 03806 0 0101692818 0.00037455 ナ0.00057953 0 01697288 日,18978 O 000 95408 df= 18

df = 18 V o 05, 0.0189 P-Value 0.00 P-Value Heve ypots fail to eject ike Full Conckusion-tere is inSufficient Evidence to indicate tat the mr tirme for vitarmin cis patents treated loss a 1e mear veated ci Placeto Hime pa Hents at o 05