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 claims that type 1 seed is better than type 2 seed?
Type 1 2053 1998 2090 2536 2276 1928 2126 1499
Type 2 2085 1937 2026 2485 2199 1938 2117 1417
in this example is the mean value of the differences d for the population of all the pairs of data where each individual differences is defined as the type 1 seed yield minus the type 2 seed yield.
The 95% confidence interval is ___< mean_d<____ round to two decimal places as needed.