determine whether the following statement is true or false E

determine whether the following statement is true or false .Explain

When conducting a cluster sample , it is better to have fewer clusters with more individuals when clusters are hetrogeneous

choose the correct answer

a, treu ,because hetrogeneous clusters are likely to resemble population heterogenity, incresing the number of necessary individuals

b. false . it is better to have fewew clusters when the clusters are hemogeneous

c.false , because the proportion of individuals per cluster to the population should no be affected by whether or not the clusters are not hetrogeneous

d. treu, because the clusters represent the population, it is advantageous to have many individual in each clusre

Solution

When a sample is heterogeneous then there is a more variation between the clusters and within the clusters. Thus we have to study more proportion of the sample to get reliable results.

Thus researchers sample more clusters and select fwere element within clusters to generate more representative samples.

When a sample and clusters are homogeneous it is better to have fewer clusters.

Thus, correct answer is option b.

false . it is better to have fewew clusters when the clusters are hemogeneous