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Does the lottery method always give you a random sample? Explain. - Economics

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प्रश्न

Does the lottery method always give you a random sample? Explain.

टीपा लिहा

उत्तर

Yes, the lottery method always gives a random sample’s outcome. In a random sample, each individual unit has an equal chance of getting selected. Similarly, in a lottery method, each individual unit is selected at random from the population and thereby has an equal opportunity of getting selected. For example, in order to select a student as a monitor, the slips containing the names of all the students are mixed well, and then a slip is drawn out at random. In this case, all students in the class have an equal chance of getting selected. The probability of a student getting selected through the lottery method is exactly the same as the probability of any one student randomly selected.

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Concepts of Sampling
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पाठ 2: Collection of Data - Exercise [पृष्ठ २१]

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एनसीईआरटी Statistics for Economics [English]
पाठ 2 Collection of Data
Exercise | Q 12. | पृष्ठ २१

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Use the data in the Table below that relate to monthly household expenditure (in Rs) on the food of 50 households and

1904 1559 3473 1735 2760
2041 1612 1753 1855 4439
5090 1085 1823 2346 1523
1211 1360 1110 2152 1183
1218 1315 1105 2628 2712
4248 1812 1264 1183 1171
1007 1180 1953 1137 2048
2025 1583 1324 2621 3676
1397 1832 1962 2177 2575
1293 1365 1146 3222 1396

Monthly Household Expenditure (in Rupees) on Food of 50 Households

Find the number of households whose monthly expenditure on food is

(a) less than Rs 2000
(b) more than Rs 3000
(c) between Rs 1500 and Rs 2500

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