One way to measure a person's fitness is to measure their body fat percentage. Our sample data is from a group of men and women who did workouts at a gym three times a week for a year. Then, their trainer measured the body fat. The table below shows the data. Based on the data, could you test whether the underlying populations of men and women at the gym have the same mean body fat or not? Make sure to state the null and alternative hypotheses, show how your test statistic is calculated, report the p-value for your test, and state your conclusion carefully. The significance level is 0.05.