1.

Draw a random sample of 2 per cent students without replacement from 600 students of a particular college for giving their feedback on faculty members. There are 200 students in each of the three years (F.Y., S.Y. and T.Y.). Use the following three-digit random numbers:For F.Y.: 158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 696, 200, 458.For S.Y.: 384, 019, 679, 131, 390, 057, 299, 786, 006, 206, 729, 344, 543, 309.For T.Y.: 227, 483, 741, 766, 027, 070, 648, 956, 198, 912, 200, 058, 696, 500.

Answer»

Here, N = 600
2 % sample without replacement is to be obtained. Therefore, n = 600 × 2100 = 12.

First stratum :

EY. : N1 = 200, n1 = 200 × \(\frac{2}{100}\) = 4

Ignoring the random numbers greater than 200 and the repeated numbers, the selected random numbers are: 158, 092, 009, 200.

Hence, the number of the sample units of the sample of 4 students of First year are : 158, 092, 009, 200.

Second stratum:

S. Y. : N2 = 200, n2 = 200 × \(\frac{2}{100}\) =4

Ignoring the random numbers greater than 200 and the repeated numbers, the selected random numbers are: 019, 131, 057, 006.

Hence, the number of the sample units of the sample of 4 students of S.Y. are : 019, 131, 057, 006.

Third stratum:

T. Y. : N2 = 200, n3 = 200 × \(\frac{2}{100}\) = 4

Ignoring the random numbers greater than 200 and the repeated numbers, the selected random numbers are: 027, 070, 198, 200, 058.

Hence, the random number of the sample units of the sample of 4 students of Third year are: 027, 070, 198, 200.


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