Answer:B. There must be k simple random samples, one from each of k populations.
A. The k samples must be independent of each other.
C. The populations must be normally distributed.
E. The populations must have the same variance.
D. There must be k simple random samples, each from the same population.
Step-by-step explanation:ANOVA (Analysis of variance) is a Mathematical and statistical analysis tool used t analyse the variance of a sample.
ANOVA was formulated based on the law of total variance by Ronald Fisher a Biologist and statistician. The variance from sample is partitioned to Attribute it to different causes.
Requirements to Perform a One- Way ANOVA Test
(1) There must be k simple random samples, one from each of k populations.
(2) The k samples must be independent of each other.
(3) The populations must be normally distributed.
(4) The populations must have the same variance.
(5) There must be k simple random samples, each from the same population.