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 a95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmerJoe's claim that type 1 seed is better than type 2seed?

Type 1 1993 2007 2083 2446 2133 2010 2175 1399

Type 2 2017 1996 2063 2437 2167 1918 2196 1402

In thisexample, d is the mean value of the differences d for the population of all pairs ofdata, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield.

The95% confidence interval is

.