Study Details for Problems 1 4: An exercise science researcher conducted a study on resting heart rates of athletes. They collected data from a random sample of 36 collegiate athletes, and found that their average resting heart rate was 58.3 beats per minute (bpm) with a sample standard deviation of 5.2 bpm. They used this data to construct a 95% confidence interval for the true mean resting heart rate of all collegiate athletes. The DCMP Data Analysis Tool output is provided below. The general formula for a confidence interval is also provided. Screen Shot 2025-08-12 at 8.03.24 AM.png Which of the following best describes the meaning of this confidence interval? We are 95% confident that the average resting heart rate of all athletes is 58.3 bpm. There is a 95% chance that the average resting heart rate of these 36 athletes is between 56.54 and 60.06 bpm We are 95% confident that the true mean resting heart rate of all collegiate athletes is between 56.54 and 60.06 bpm 95% of all collegiate athletes have a resting heart rate between 56.54 and 60.06 bpm.

Estimate of Population Mean: t- Margin S Point Standard score of Estimate Error (df=35) Error 58.3 0.8667 2.0301 1.759 Confidence Interval: Population Parameter Lower Bound Upper Bound Confidence Level Mean 56.54 60.06 95% 95% Confidence Interval [56.54, 60.06] 54 56 58 60 62 X Population Mean