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 a95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmerJoe's claim that type 1 seed is better than type 2seed?
Type 1
2094
2008
2005
2559
2158
1963
2106
1418
Type 2
2049
1911
2028
2496
2176
1989
2132
1438
In thisexample, d is the mean value of the differences d for the population of all pairs ofdata, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield.
The95% confidence interval is ?
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