Question

In: Statistics and Probability

You need to select three subjects from a list of 15 subjects: 01. Lorran 04. Sunny     ...

You need to select three subjects from a list of 15 subjects:

01. Lorran 04. Sunny      07. Jennifer

02. John 05. Caroline 08. Izzy

03. Mercedes     06. Matthew 09. Nicole

10. Natasha       11. Krissy          12. Muskan

13. Jacob           14. Autumn       15. Rachel

Use the numerical labels attached to the names and the following list of random digits to select three individuals. Read the list of random digits from left to right, starting at the beginning of the list.

44982 20751 27498 12009 45287 71753 98236 66419 84533 11793 20495 05907 11384

Solutions

Expert Solution

we have to select 3 subjects from is subjects by random sampling technique technique. we are given random sombers digits from left to right: we decided to draw 2 digited random numbers. Starting from 00 – 99. Clearly 3 subjects are to be selected without replacement. Now, there are 100 the digited numbers from 00-99. 11007=6, where [] indicates greatest integer fonction on box fonction So, we select the samembers or -(6815) ire 01- 90 and 00. we reject if the random nombers from 91-99. Selection procedure. Rometom Lets be the two digited random number drawn. en F H = 15 1] + m ; where in is the remainder Then select with population unit. Now if m= o select 5th population unit ire select Rachel. random Random number drawing First we select the oumbers numbers from random number list from the beginning.

000 44 So, wo draw the number 44, 98 and 22. [ Starting from first of the random number list and moving right]. de = 154] +14.ie So, 14th population unit is selected. 98-18x598) +8 je gote population unit is selected is 15x225 +7 ie 7th population unit is selected. Hence, 14th, 8th and 7th population units are selected sie Autumn, Izzy and Jennifer are the three subjects selected respectively.


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