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 2067 2009 2077 2515 2205 2021 2155 1495 Type 2 2091 1995 2033 2425 2188 1942 2154 1426 In this example, Hd 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