19. Testing Corn Seeds In 1908, William Gosset published the article “The Probable Error of a Mean” under the pseudonym of “Student” (Biometrika, Vol. 6, No. 1). He included the data listed below for two different types of corn seed (regular and kiln dried) that were used on adjacent plots of land. The listed values are the yields of head corn in pounds per acre.

a. Using a 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed.

b. Construct a 95% confidence interval estimate of the mean difference between the yields from the two types of seed.

c. Does it appear that either type of seed is better?

Child A B C D E F G H I J K L M N O First trial 30 19 19 23 29 178 42 20 12 39 14 81 17 31 52 Second trial 30 6 14 8 14 52 14 22 17 8 11 30 14 17 15 Regular 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535