A pharmaceutical company claims to have invented a new pill to aid weight loss. They claim that people taking these pills will lose more weight than people not taking them. A total of twenty people are weighed and tested. Ten people are given the new pills and the other ten are given a placebo. After two months the people are weighed again and any weight loss, in kg. is noted in the table below. New remedy Placebo 1.2 2.4 1.6 3.5 3.2 4.6 2.5 0.8 1.2 3.9 0.6 0 1.0 1.3 2.1 0.7 1.9 2.4 0.3 1.0 Perform a t-test at the 1% significance level to see if those taking the pills are losing more weight on average.