Use this information to answer the questions.

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.Write down the confidence level and the t* critical value.

2.Calculate the margin of error for the interval to two decimal places. Show your work

3.Calculate the confidence interval to two decimal places and state it in interval form. Show your work and correct formula