Question: 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
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
2167
1990
2060
2497
2178
1922
2173
1518
Type 2
2062
1994
2095
2433
2118
1921
2132
1486
In this example,
mu 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.
The 95% confidence interval is
nothing
less thanmu Subscript dless thannothing.
(Round to two decimal places as needed.)
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