Problem 2: In 2018, the FIFA World Cup was hosted by Russia. A sports analyst was interested in determining the true average attendance at each of the matches. However, they were unable to attend every match, so they randomly selected 32 matches to attend and recorded the attendance at each one. They found that the average attendance at those 32 matches was 46,876 with a standard deviation of 3,901.
Question 2a: Use this information to construct and interpret a 95% confidence interval for the true average attendance at 2018 FIFA World Cup matches. Make sure to check all assumptions and state how they were satisfied. Round each value in your interval to 2 decimal places (i.e. if your answer was 0.54321 then you would write 0.54)
Question 2b: How would a 99% confidence interval for the true average attendance compare to the 95%