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 1902 2094 2540 2280 1981 2145 1532
Type 2 = 2035 1908 2011 2436 2169 1922 2155 1454
In this example, Subscript μd 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 < μd< .
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 only includes positive values and does not includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim.
B. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim.
C. Because the confidence interval only includes positive values and does not include positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim.
D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.