In: Statistics and Probability
William Gosset published the article "The Probable Error of a Mean" under the pseudonym of "Student". He included matched-pair data for corn seed that was prepared using two different methods (regular & kiln dried). The data values are the yields of sampled harvested corn in pounds per acre.
Regular (sample set 1): | 1492 | 1844 | 2350 | 1426 | 1888 | 2284 | 2108 | 2372 |
Kiln dried (sample set 2): | 2240 | 2274 | 2036 | 2257 | 2189 | 1580 | 1496 | 1444 |
a) Use a 0.05 significance level to test the claim that there is no
difference between the yields from the two methods.
Claim: d ---Select--- < > = ≤ ≥ ≠ 0 |
Ho: d ---Select--- < > = ≤ ≥ ≠ 0 |
H1: d ---Select--- < > = ≠ ≤ ≥ 0 |
b) What was the rejection result? Does it appear that either method
of seed preparation is better?
Reject the null hypothesis. There is not significant evidence that one seed preparation method yields better than the other.Do not reject the null hypothesis. There is significant evidence that one seed preparation method yields better than the other. Do not reject the null hypothesis. There is not significant evidence that one seed preparation method yields better than the other.Reject the null hypothesis. There is significant evidence that one seed preparation method yields better than the other.