A researcher claims that the average weight lost after a program of diet and exercise is the same for men and women. An experiment was conducted to compare weight lost of
men and women. Two groups of overweight dieters were randomly selected. The first sample
contained 30 women and came from a population with a standard deviation of 2.6 lb. The
other sample was formed by 40 men. The standard deviation of the population of men is
1.9 lb. Their weight losses were recorded over a 90-day period. The average weight losses of
the women’s sample is 21.3 lb, while the average weight losses of the men’s sample is 18.4
lb. At α = 0.05 is the researcher correct?