A test is conducted to compare three different income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different persons' income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below. ANOVA
Based on these results and using a 0.05 level of significance which is correct regarding blocking?
A)Blocking was not effective because p-value = 2.66 is greater than 0.05.
B)Blocking was effective because p-value = 2.66E - 5 is less than 0.05.
C)Blocking was not effective because p-value = 1.6 is greater than 0.05.
D)Blocking was effective because p-value = 1.6E-14 is less than 0.05.

Question

A test is conducted to compare three different income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different persons' income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below.  ANOVA
 Based on these results and using a 0.05 level of significance which is correct regarding blocking?
A)Blocking was not effective because p-value = 2.66 is greater than 0.05. 
B)Blocking was effective because p-value = 2.66E - 5 is less than 0.05. 
C)Blocking was not effective because p-value = 1.6 is greater than 0.05. 
D)Blocking was effective because p-value = 1.6E-14 is less than 0.05.

Quizplus · Accepted Answer

The p-value for the blocking effect is 1.6E-14, which is less than 0.05. This indicates that the blocking was effective in reducing the variability within each block, which increases the power of the test to detect differences between the three software packages. Therefore, the correct choice is D, blocking was effective because p-value = 1.6E-14 is less than 0.05.

A Test Is Conducted to Compare Three Different Income Tax