TABLE 10-19
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.

-Referring to Table 10-19, based on the Tukey-Kramer procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

Question

TABLE 10-19
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows.
 
-Referring to Table 10-19, based on the Tukey-Kramer procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

Quizplus · Accepted Answer

To determine if there is a significant difference between the crop yield of Smith and Walsh seeds, we need to compare their respective mean yields and use the Tukey-Kramer procedure with an overall level of significance of 0.01. From Table 10-19, we can see that the mean yields for Smith and Walsh seeds are 723 and 667 bushels per acre, respectively. Using the Tukey-Kramer procedure, we find a critical value of q* = 3.744. The difference between the mean yields of Smith and Walsh seeds is 56 bushels per acre, which is greater than q* times the standard error of the difference (which is approximately 34.29 in this case). Therefore, we reject the null hypothesis of no difference and conclude that there is a significant difference between the crop yield of Smith and Walsh seeds. The correct answer is A.

TABLE 10-19 An Agronomist Wants to Compare the Crop Yield of 3