Three-digit random numbers are given below:170, 111, 352, 002, 563, 20

1.	Three-digit random numbers are given below:170, 111, 352, 002, 563, 203, 405, 545, 111, 446, 776, 691, 816, 233, 616, 300, 250, 816, 010.Using the random numbers, select a 2 % random sample with and without replacement from a population of 350 units.
Answer» First of all we will assign numbers 1 to 350 to the units of population. Population size is N = 350, a three-digit number. Hence, the random numbers greater than 350 are ignored. The selected random numbers are : 170, 111, 002, 203, 111, 233, 300, 250, 010. 2 2 % means 350 × \(\frac{2}{100}\) = 7 units are to be selected in the sample. Sample with replacement: Considering the repeated numbers, first seven random numbers are: 170, 111, 002, 203, 111, 233, 300. Thus sample with replacement consists of the random numbers 170, 111, 002, 203, 111, 233, 300. Sample without replacement: Ignoring the repeated numbers, the first seven random numbers are: 170, 111, 002, 203, 233, 300, 250. Thus, sample without replacement consists of the random numbers 107, 111, 002, 203, 233, 300, 250.

Three-digit random numbers are given below:170, 111, 352, 002, 563, 203, 405, 545, 111, 446, 776, 691, 816, 233, 616, 300, 250, 816, 010.Using the random numbers, select a 2 % random sample with and without replacement from a population of 350 units.

Answer»

First of all we will assign numbers 1 to 350 to the units of population.

Population size is N = 350, a three-digit number. Hence, the random numbers greater than 350 are ignored.
The selected random numbers are : 170, 111, 002, 203, 111, 233, 300, 250, 010. 2
2 % means 350 × \(\frac{2}{100}\) = 7 units are to be selected in the sample.

Sample with replacement: Considering the repeated numbers, first seven random numbers are: 170, 111, 002, 203, 111, 233, 300.
Thus sample with replacement consists of the random numbers 170, 111, 002, 203, 111, 233, 300.

Sample without replacement: Ignoring the repeated numbers, the first seven random numbers are: 170, 111, 002, 203, 233, 300, 250.
Thus, sample without replacement consists of the random numbers 107, 111, 002, 203, 233, 300, 250.

Three-digit random numbers are given below:170, 111, 352, 002, 563, 203, 405, 545, 111, 446, 776, 691, 816, 233, 616, 300, 250, 816, 010.Using the random numbers, select a 2 % random sample with and without replacement from a population of 350 units.

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