Question One: Monsoons. do this question with a group, write your names on it and hand it to me.
here is the data for monsoons rainfall data over the course of the 20th century (100 years). [this data is in mm.]
monsoon: 722.4 736.8 866.2 877.6 728.7 739.2 1020.5 887.0 852.4 784.7 792.2 806.4 869.4 803.8 958.1 793.3 810.0 653.1 735.6 785.0 861.3 784.8 823.5 976.2 868.6 923.4 858.1 913.6 955.9 896.6 750.6 898.5 863.0 913.8 920.8 885.8 922.8 748.3 836.9 938.4 716.8 781.0 804.0 843.9 911.3 930.5 709.6 963.0 760.0 826.4 885.5 951.1 903.1 908.7 904.0 983.6 740.2 857.0 743.2 857.3 777.9 1004.7 853.5 842.4 945.9 789.0 860.3 883.4 769.4 870.5 897.5 651.2 768.2 908.6 874.3 889.6 754.8 909.5 961.7 873.8 889.6 885.0 821.5 789.9 904.2 944.3 831.3 708.0 866.9 827.0 935.4 719.4 804.9 853.6 877.3 839.9 940.0 882.9 908.8 770.2
a) Does this data appear fairly normal? Explain how you know.
b) Give the five number summary, the range, the IQR, and the mean
c) Using the 2*sd method, give me our suspected outlier thresholds.
d) Are there any suspected outliers? [If there are, in this case, we're going to leave everything]
e) 2012 had a monsoon rainfall of 890 mm. What would be the z-score of that value?
f) What percent of years will have a rainfall below 890 mm?
g) Over what amount of rain do 79.95% of years receive?
Question Two: Examine the possibilities. Do this question on your own.
There are two exams to test mathematical ability when entering into college.
Test A is N(80, 20).
Test B is N(90, 10)
Trying to show off your mathematical knowledge, you take both exams. You score a 115 on test A and a 105 on Test B.
a) Which test has a better Z-score for you?
b) What percentile does each score place you at (i.e. what percent of people did you do better than)?
c) What score do you need on each test to score better than 98.75% of other people?
Question 3: Winning at baseball. Do this question on your own.
Baseball teams play 162 games, and the number of games they win is N(81, 8).
a) What percent of teams wach year should win between 90 and 95 games?
b) The Detroit Tigers won 88 games last year. What is their percentile?
c) The Houston Astros won 55 games last year. What is their percentile?
write your answers on a sheet of paper to turn into me.