If the yields of varieties A, B, and C are 45, 50, and 44 Bu per acre respectively, and the LSD is 5, which statement is true?

The correct statement is that the yield of variety B is significantly higher than the yield of variety C. In determining whether the differences in yield between varieties are statistically significant, the Least Significant Difference (LSD) is used as a threshold.

In this case, the LSD is set at 5. The yields for the varieties are as follows: variety B has a yield of 50 bushels per acre, while variety C has a yield of 44 bushels per acre. The difference between these yields is 6 bushels per acre (50 - 44), which exceeds the LSD of 5. This indicates that the difference is statistically significant, suggesting that variety B consistently produces higher yields compared to variety C.

When comparing other varieties, variety A’s yield of 45 bushels is within the LSD margin in comparison to both varieties B and C, making it less clear if those differences are statistically significant. Therefore, the conclusion drawn about variety B being significantly higher than variety C is supported by the statistical analysis of yields and the LSD threshold.