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 2052 2000 2139 2478 2218 1912 2254 1555
Type 2 2021 1934 2084 2448 2141 1923 2162 1462
In this example, u Subscript d, 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.
A) The 95% confidence interval is -
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