Question
Use the following random numbers to select a random sample of $5$ $ATMs$ without replacement from a total of $100$ ATMs of a bank :
$018, 502, 153, 096, 027, 007, 118, 245, 012, 054, 444, 211, 323, 428, 137.$

Answer

  • First of all, we will assign numbers $1$ to $100$ to the $ATM$ of Banks.
  • Population size is $100$, a three-digit number. Hence, the random numbers greater than $100$ will be ignored from the given random numbers.
  • Random sample without replacement is to be obtained. Hence, repeated random numbers are ignored. Thus, the following random numbers are obtained :
$018, 096, 027, 007, 012, 054.$
  • As the random sample of $5$ $ATM$ is to be obtained, we select first five random numbers from the random numbers above.
  • Thus, the random sample of $5$ $ATM$ Is obtained as follows :
$018, 096, 027, 007, 012.$

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