1.

There are 70 students in a classroom. A teacher wants to select 7 students for 7 activities. Obtain a random sample with replacement using the following random numbers:274, 323, 923, 599, 667, 320, 910, 484, 786, 253, 009, 885, 115.

Answer»

First of all, we will assign numbers 1 to 70 to the students in a classroom.

Population size N = 70, a two-digit number. Hence, we consider only first two digits of random numbers and ignore the first two digits greater than 70.

  • Random sample with replacement is to be obtained. Hence, we consider the repeated random numbers.
  • The selected random numbers are : 27, 32, 59, 66, 32, 48, 25, 11.
  • A random sample of 7 students is to be obtained. Therefore we select first seven random numbers from the above.
  • Thus, random numbers of selected seven students are respectively 27, 32, 59, 66, 32, 48, 25, which is random sample with replacement.


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