Blog: STA301 GDB solution

STA301 will be opened on June 01, 2011 and will remain open till June 03, 2011. The topic of this GMDB will be

“Suppose you want to survey a colony of Lahore having 20 streets each of 150 houses. A sample of 10 houses is to be taken from each street. Explain how would you select the 10 houses from each street by systematic sampling”.

Your comments should NOT exceed from 80-100 words

SOLUTION:

“Suppose you want to survey a colony of Lahore having 20 streets each of 150 houses. A sample of 10 houses is to be taken from each street. Explain how would you select the 10 houses from each street by systematic sampling”.

Solution:

Systematic sampling is to be applied only if the given population is logically

homogeneous, because systematic sample units are uniformly distributed over

the population.

I want to sample 10 houses from a street of 150 houses.

150/10=15,

so every 15th house is chosen after a random starting point between 1 and 15. If

the random starting point is 11,

then the houses selected are house no11, house no 26,house no 41, house

no56,house no 71, house no86, house no101, house no116 ,house no 131
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The formula for systematic sampling is K=N/n where "N" is the Population size and "n" is sample size
we want to sample 10 houses from a street of 150 houses. 150/10=15, so every 15th house is chosen after a random starting point between 1 and 15. If the random starting point is 4, then the houses selected are 4,19,34,49,64,79,94,109,124,139