MAT 133: 3.4 WS 2 p.3 3. From 1789 to 2021, there have been 59 U.S. Presidential Inauguration addresses in U.S. history. The following is a percentile graph for the number of words in these speeches. (Source) Percentile Graph of Word Count for Inaugural Addresses (1789-2021) 2000 4000 6000 8000 100 100 Mean 2335 StDev 1374 N 59 80 60 60 Percent 40 40 20 20 2000 4000 6000 8000 Number of Words a) Abraham Lincoln's Second Inaugural Address (in 1865) is widely considered the greatest ever given. It was 701 words long, what percentile is it? (Show work on the graph above) b) Calvin Coolidge (president 1923-1929) was famous for being very brief in his remarks in person. In fact, his nickname was "Silent Cal". His inaugural address was at the 90th percentile for length though! Approximately how many words did it have? (Show work on the graph above) c) Joe Biden's inaugural speech (at 2251 words) was in the 59th percentile. Explain this in the context of the situation. d) George Washington's second inaugural address was the shortest ever given at 135 words. Calculate its z-score. (Give 2 decimal places) e) Was George Washington's second inaugural address unusually low? Explain using the z-score