Question

16. 16) Use the table of random digits below, starting with the line 103 select a sample of six members

    from a collection numbered from 1 to 3000. Write you answers in the boxes below:

    Small Table of Random Digits

    Row
    101 89708 94783 84322 46274 75833 74820 32294 93519 70929 10678 102 19998 48971 67030 25008 27886 85186 28453 98490 88739 31348 103 29973 04651 98443 25186 70113 98768 24190 07699 32089 66080 104 25633 62045 67741 09285 07007 34793 22670 87140 22360 18279 105 51116 85353 74625 13357 03703 91295 26513 02106 99838 27745 106 48731 84161 63273 22778 22308 09163 98574 03985 60314 63222 107 66972 67121 13801 61931 45525 25032 58219 36258 11217 82729

Answer 1

We have a collection that is numbered 1 to 3000.

We are to draw a random sample of size 6 from this collection. For this, we shall be using a random number table.

Since, these are 4 digit numbers, for each number in the random number table, we will only consider the first four digits.

Going to row 103, the first number is 29973. Taking the first four digits, we get 2997. Hence, we first draw the number 2997.

The second number in the row is 04651. Taking the first four digits, we get 0465. Hence, we draw the number 465.

The third number is 98443. The first four digits are 9844. This number does not belong to the list.

Next number in the row is 25186. The first four digits are 2518. Hence, we draw the number 2518 from the collection.

Next number in the row is 70113. The first four digits rae 7011. This number does not belong to the collection.

Next number in the row is 98768. The first four digits 9876 do not belong to the collection.

Next number in the row is 24190. Hence, we draw the first four digits i.e. the number 2419 from the collection.

Next number in the row is 07699. Hence, we draw the number 769 from the collection.

Next number in the row is 32089. 3208 does not belong to the collection.

Next number is 66080. 6608 also does not belong to the collection.

So we go to the next row. The first number is 25633. The first four digits are 2563. Hence, we draw the number 2563 from the collection.

Thus, the randomly drawn 6 numbers are {465, 2518, 2419, 769, 2563}.