Question

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
2028   2057
2072   1972
2091   2057
2466   2406
2256   2187
1955   1958
2142   2181
1483   1442

In this​ example,

mu Subscript dμd

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

nothingless than<mu Subscript dμdless than<nothing.

​(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

includesincludes

​zero, there

is notis not

sufficient evidence to support farmer​ Joe's claim.

B.Because the confidence interval

only includes positive values and does not includeonly includes positive values and does not include

​zero, there

isis

sufficient evidence to support farmer​ Joe's claim.

C.Because the confidence interval

only includes positive values and does not includeonly includes positive values and does not include

​zero, there

is notis not

sufficient evidence to support farmer​ Joe's claim.

D.Because the confidence interval

includesincludes

​zero, there

isis

sufficient evidence to support farmer​ Joe's claim.

Answer 1