SCENARIO 10-4
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. $\begin{array}{rrrr}
\text { Trial}&\text { Smith}&\text { Walsh}&\text { Trevor }\
1 & 11.1 & 19.0 & 14.6 \
2 & 13.5 & 18.0 & 15.7 \
3 & 15.3 & 19.8 & 16.8 \
4 & 14.6 & 19.6 & 16.7 \
5 & 9.8 & 16.6 & 15.2
\end{array}$
-Referring to SCENARIO 10-4, the test is valid only if the population of crop yields has the same variance for the 3 varieties.

Question

SCENARIO 10-4
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. $\begin{array}{rrrr}
\text { Trial}&\text {  Smith}&\text {  Walsh}&\text {  Trevor }\
1 & 11.1 & 19.0 & 14.6 \
2 & 13.5 & 18.0 & 15.7 \
3 & 15.3 & 19.8 & 16.8 \
4 & 14.6 & 19.6 & 16.7 \
5 & 9.8 & 16.6 & 15.2
\end{array}$
-Referring to SCENARIO 10-4, the test is valid only if the population of crop yields has the same variance for the 3 varieties.

Quizplus · Accepted Answer

For the test to be valid in a completely randomized design comparing means across groups, one of the assumptions is that the populations from which the samples are drawn have equal variances (homogeneity of variances).

SCENARIO 10-4 an Agronomist Wants to Compare the Crop Yield

SCENARIO 10-4
an Agronomist Wants to Compare the Crop Yield