Question

5. 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 Type_2

2128       2021

1920       1931

2082       2036

2404       2439

2203       2136

1976       1933

2218       2183

1376       1412

In this​ example, mu Subscript d is 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.

The​ 95% confidence interval is

____<µd<____

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

Answer 1