The data below are yields for two different types of corn se

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
2042 2008
2043 1932
1997 2003
2564 2458
2074 2108
1918 1918
2183 2162
1471 1488

The 95% confidence interval is ____<?d< _____

(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?

includes?

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 not?

sufficient evidence to support farmer Joe\'s claim.

C.

Because the confidence interval?

only includes positive values and does not include?

zero, there?

is?

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.

Solution

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A.

Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe\'s claim.