(2) Consider a test that measures adults memory skills and suppose that scores are bell shaped. You take the test and obtain a score of 254.21 and...

(2) Consider a test that measures adults memory skills and suppose that scores are bell shaped. You take the test and obtain a score of 254.21 and are told that you are in 96.1th percentile. Your friend also takes the test and obtains a score of 161.42 and is told that he is in the 22.8th percentile. What is overall mean and standard deviation of the test scores?