Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values

Table 1

Numerical values of conditions (38)–(45).

Conditions	Population 1	Population 2	Population 3	Population 4
(38)	0.99 > 0.592	−0.667 > 0.2529*	0.980 > 0.478	0.981 > 0.525
(39)	0.214 < 0.287 < 0.360	0.442 < 1.125 < 1.807	22.23 < 26.16 < 30.094	22.92 < 24.5 < 26.07
(40)	0.99 < −0.592*	−0.667 < −0.253	0.980 < −0.4783*	0.981 < −0.525*
(41)	−0.360 < 0.287 < 0.93	−0.442 < 1.125 < 2.692	−22.238 < 26.16 < 74.57	−26.07 < 24.5 < 75.07
(42)	0.980 > 0.000	0.459 > 0.000	0.9605 > 0.000	0.963 > 0.000
(43)	0.273 < 0.287 < 0.301	−0.773 < 1.125 < −0.592*	22.78 < 26.16 < 29.549	24.36 < 24.5 < 24.63
(44)	0.980 > −1.913	0.459 > 0.272	0.9605 > −0.862	0.963 > −1.88
(45)	−0.30 < 0.287 < −0.15*	0.592 < 1.125 < 4.026	−30.63 < 26.16 < −22.78*	−24.36 < 24.5 < −21.2*

Note: *indicates that the condition is not satisfied.