The data below are yields for two different types of corn seed that were used on

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 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? In this example, mu_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

Explanation / Answer

Paired T-Test and CI: Type 1, Type 2

Descriptive Statistics

Estimation for Paired Difference

µ_difference: mean of (Type 1 - Type 2)

Test

confidence interval is (-31.9,67.7)

SInce 0 is contained in the confidence interval , we fail to reject the null

option a) is correct

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Sample N Mean StDev SE Mean Type 1 8 2044 294 104 Type 2 8 2026 280 99

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