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प्रश्न
Write short note on sampling distribution and standard error
उत्तर
Sampling distribution:
Sampling distribution of a statistic is the frequency distribution which is formed with various values of a statistic computed from different samples of the same size drawn from the same population.
For instance if we draw a sample a size n from a given finite population of N, then the total number of possible samples is
Ncn = `("N"!)/("n"!("N" - "n")!)` = k(say)
Standard Error:
The standard deviation of the sampling distribution of a statistic is known as its standard error abbreviated as S.E.
The standard error (S.E) of some of the well-known statistics, for large samples, are given below, where n is the samples size, σ² is the population variance.
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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
(b) more than Rs 3000
(c) between Rs 1500 and Rs 2500
