ONE AND TWO SAMPLE T-TESTS Homework 7 Please include this sheet as a coversheet, fill it out and staple to your homework. NAME: __________________________________________________ Class Time (OR \"ONLINE\"): _________________________________ Recitation Day/Time or TA (blank if online): _____________________ Grading: Ex 1 Ex 2 Ex 3 Ex 4 Ex 5 Effort/neatness 8 8 8 12 12 TOTAL 2 Page 1 of 7 1. t-test of mean problem by hand The agricultural revolution in the 19th and 20th centuries is one of the socially significant problems that spurred the development of statistics. One important example is the discovery of the t-distribution. William S. Gosset (pictured at right) was an Oxford-educated mathematician, employed by the Guinness brewing company of Dublin. Since breweries use lots of grain, they are naturally involved in agricultural research, so part of Gosset's work involved experimenting with crop yields. He realized that new mathematical techniques for handling the resulting data were needed, and he worked on the problem with Karl Pearson of University College, London. The outcome of Gosset's study was perhaps the most famous paper in statistical literature, \"The Probable Error of a Mean\" (1908), which introduced the t-distribution. Since Gosset was contractually bound by Guinness, he published under the pseudonym, \"Student\