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Exercise 2.3.The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 100 28 18 24 Students Weight (x) Age (y) Don 150 76 (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as YHR=FX+ (N-1) n N (n-1) (y - Fx) 1 n where F = -2, and other symbols have their usual meanings. n1=1 X₁ (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(R)= Y and V() = P₁ {√) - Y}. HR HR(1)

Exercise 2.3.The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 100 28 18 24 Students Weight (x) Age (y) Don 150 76 (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as YHR=FX+ (N-1) n N (n-1) (y - Fx) 1 n where F = -2, and other symbols have their usual meanings. n1=1 X₁ (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(R)= Y and V() = P₁ {√) - Y}. HR HR(1)

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
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2.3
Method of estimation comes closer? Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 28 18 where = Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) YHR=FX+ n x) N (n-1) (J-FX) 1 (*). Σ of physicians in the population is 532,638. Which Don 100 150 24 76 and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(ỹR)= Ỹ and V (Y) = ΣP₁ {√() - Y}². HR HR HR(1)
Transcribed Image Text:Method of estimation comes closer? Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 28 18 where = Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) YHR=FX+ n x) N (n-1) (J-FX) 1 (*). Σ of physicians in the population is 532,638. Which Don 100 150 24 76 and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(ỹR)= Ỹ and V (Y) = ΣP₁ {√() - Y}². HR HR HR(1)
Upulation: State wise total number marriages during 2001 and total population during 2002. (Source: Statistical Abstracts of the United States--2003). No. State Marriages 1 AL 2 AK 3 4 5 6 7 8 9 10 SHAREE 11 12 13 14 15 16 17 18 HERRERIES 19 20 21 22 23 24 25 AZ AR CA CO CT DE DC FL GA НІ ID IL IN IA KS KY LA ME MD ΜΑ MI MN MS 42.2 5.1 40.4 38.4 224.2 36.5 18.6 5.2 3.5 Population 151.3 51.3 24.0 14.7 89.8 34.1 20.9 20.3 36.6 37.5 11.4 37.5 40.0 66.5 33.0 18.7 Continued... 4487 644 5456 2710 35116 4507 3461 807 571 16713 8560 1245 1341 12601 6159 2937 2716 4093 4483 1294 5458 6428 10050 5020 2872 6 26 27 38 29 301 32 33 34 35 363738 39 40 41 2 3 44 45 46 48 49 50 51 No. 28 42 43 47 State Marriage Population MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY 42.2 6.4 13.6 146.1 10.6 54.1 13.9 145.5 61.1 4.1 82.3 16.6 26.0 71.4 7.4 36.8 6.7 77.7 194.9 23.2 6.0 63.4 42.2 14.2 34.9 5.0 5673 909 1729 2173 1275 8590 1855 19158 8320 634 11421 3494 3522 12335 1070 4107 761 5797 21780 2316 617 7294 6069 1802 5441 499
Transcribed Image Text:Upulation: State wise total number marriages during 2001 and total population during 2002. (Source: Statistical Abstracts of the United States--2003). No. State Marriages 1 AL 2 AK 3 4 5 6 7 8 9 10 SHAREE 11 12 13 14 15 16 17 18 HERRERIES 19 20 21 22 23 24 25 AZ AR CA CO CT DE DC FL GA НІ ID IL IN IA KS KY LA ME MD ΜΑ MI MN MS 42.2 5.1 40.4 38.4 224.2 36.5 18.6 5.2 3.5 Population 151.3 51.3 24.0 14.7 89.8 34.1 20.9 20.3 36.6 37.5 11.4 37.5 40.0 66.5 33.0 18.7 Continued... 4487 644 5456 2710 35116 4507 3461 807 571 16713 8560 1245 1341 12601 6159 2937 2716 4093 4483 1294 5458 6428 10050 5020 2872 6 26 27 38 29 301 32 33 34 35 363738 39 40 41 2 3 44 45 46 48 49 50 51 No. 28 42 43 47 State Marriage Population MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY 42.2 6.4 13.6 146.1 10.6 54.1 13.9 145.5 61.1 4.1 82.3 16.6 26.0 71.4 7.4 36.8 6.7 77.7 194.9 23.2 6.0 63.4 42.2 14.2 34.9 5.0 5673 909 1729 2173 1275 8590 1855 19158 8320 634 11421 3494 3522 12335 1070 4107 761 5797 21780 2316 617 7294 6069 1802 5441 499
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