Assignment:
Historical Data Set In 1908, "Student" (William Gosset) published the article "The Probable Error of a Mean" (Biometrika, Vol. 6, No. 1). He included the data listed below for two different types of straw seed (regular and kiln dried) that were used on adjacent plots of land. The listed values are the yields of straw in cwt per acre, and the yields are paired by the plot of land that they share.
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?
|
Regular
|
19.25
|
22.75
|
23
|
23
|
22.5
|
19.75
|
24.5
|
15.5
|
18.25
|
14.25
|
17.25
|
|
Kiln dried
|
25.25
|
24.25
|
24
|
28
|
22.5
|
19.55
|
22.25
|
16.5
|
17.25
|
15.75
|
17.25
|