TABLE 11-4
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.
-True or False: Referring to Table 11-4,the null hypothesis should be rejected at 0.005 level of significance.

Question

TABLE 11-4
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. 
-True or False: Referring to Table 11-4,the null hypothesis should be rejected at 0.005 level of significance.

Quizplus · Accepted Answer

To determine whether the null hypothesis should be rejected, we need to perform an analysis of variance (ANOVA) and calculate the F-statistic and corresponding p-value. Using the data in Table 11-4 and assuming equal variances, we get an F-statistic of 5.572 and a p-value of 0.012. Since the p-value is less than the 0.005 level of significance, we can reject the null hypothesis and conclude that there is a significant difference in crop yield among the three varieties of chickpea seeds. Therefore, the answer is A.

TABLE 11-4 An Agronomist Wants to Compare the Crop Yield of 3