Question

# Identify which sampling technique was used to select the given sample. Every 175th racquetball manufactured is...

Identify which sampling technique was used to select the given sample. Every 175th racquetball manufactured is selected to measured its radius.
A)Random
B)Systematic
C)Stratified
D)Cluster

The answer is option B i.e systematic sampling.

In systematic sampling when N=nk where N= population size, n = sample size ,and k is the integer multiplier.

so suppose we need to select n samples from the population of size N by the scheme of systematic sampling..so we do that marking the whole population from 1 to N=nk.

Then we select a random no. from 1 to k ..let's say it's "i". where i belonging to [1,k]

so after getting" i " our sample of size would be observations marking i, i+k, i+2k, ......i+(n-1)k th observation..

so systematic sampling always deals with the selection of sample in a fixed distance ..as here we are selecting every 175 th sample so it's a case of systematic sampling...

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