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In: Statistics and Probability

William Gosset published the article "The Probable Error of a Mean" under the pseudonym of "Student"....

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.

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