4. About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of F =1.267 and a standard deviation of s, =1.230. (a) Find and interpret the standard error of the mean. (b) Construct and interpret a 99% confidence interval to estimate the true mean score on this