In the 2016 Rio Olympics, the 207 participating countries had an average of 54.3 athletes. After being delayed a year because of Covid-19, the Tokyo Olympics were held in July and August 2021. Because of ongoing issues with the pandemic, no fans were allowed at the events. A random sample of 37 countries participating in the Tokyo Olympics had an average of 51.3 athletes, with a standard deviation of 112.8. Estimate the mean number of athletes per country participating in the Tokyo Olympics with 98% confidence.

1. Describe the parameter of interest in the context of the problem.

2. Name the conditions for the procedure.

3. Explain how the above conditions are met.