A football team has 40 players. The coach took a random sample of 20 players for a study on response times where they pushed a button as soon as they noticed a signal light up. Each player also reported how many hours of sleep they had the night before. There were some extreme outliers in the data. The following table summarizes the performance in the study. Amount of sleep Less than hours or more hours Mean reaction time (milliseconds) Standard deviation (milliseconds) The coach plans to use this information to construct a interval to estimate the difference in the average response times of the team's players with more or less than hours of sleep. Which conditions for constructing this type of interval did the coach's samples meet?