The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution...




The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed?






























Type 1


2021


2069


2120


2599


2083


1953


2128


1384




Type 2


2023


1967


2079


2483


2121


1937


2145


1402






In this​ example,
μdis the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield.


_______<><>

​(Round to two decimal places as​ needed.)

What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed?





A.
Because the confidence interval only

includes positive values and does not include
​zero, there
is not
sufficient evidence to support farmer​ Joe's claim.





B.
Because the confidence interval

includes
​zero, there
is
sufficient evidence to support farmer​ Joe's claim.





C.
Because the confidence interval

includes
​zero, there
is not
sufficient evidence to support farmer​ Joe's claim.





D.
Because the confidence interval

only includes positive values and does not include
​zero, there
is
sufficient evidence to support farmer​ Joe's claim.








Jun 09, 2022
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