3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N seats 31 - 40 41 - 50 51 - 70 13,784 72,223 44,529 24,137 1,647 9,735 8,294 5,294 44 756 89 168 3,383 1,545 617 441 56 250 71 - 16 102 ... a. Allocate a total sample of size, n= 40 using the proportional allocation. b. Estimate the total of socio-democratic seats for a stratified random sampling of selecting a sample of size, n= 40. Construct a 95% confidence interval for the total. c. Estimate the total of socio-democratic seats if a simple random sampling scheme was used to select a sample of size, n= 40. Construct a 95% interval for the total. d. Which of the two methods used in (b) and (c) is more efficient? Why?
3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N seats 31 - 40 41 - 50 51 - 70 13,784 72,223 44,529 24,137 1,647 9,735 8,294 5,294 44 756 89 168 3,383 1,545 617 441 56 250 71 - 16 102 ... a. Allocate a total sample of size, n= 40 using the proportional allocation. b. Estimate the total of socio-democratic seats for a stratified random sampling of selecting a sample of size, n= 40. Construct a 95% confidence interval for the total. c. Estimate the total of socio-democratic seats if a simple random sampling scheme was used to select a sample of size, n= 40. Construct a 95% interval for the total. d. Which of the two methods used in (b) and (c) is more efficient? Why?
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answer the follwing:
please include all the step. dont use excel thank you.
![3. To estimate the total of the number of socio-democratic seats (SDS), y in
a municipal council, the population was stratified into four strata using the
total number seats in the municipal council. Some information about these
strata is given in the following table.
Population
Sample
Number of
seats
Σν
k-1
31 - 40
41 - 50
51 - 70
71 - ...
44
756
13,784
72,223
44,529
24,137
89
1,647
9,735
8,294
5,294
168
3,383
441
1,545
617
56
250
102
16
a. Allocate a total sample of size, n= 40 using the proportional
allocation.
b. Estimate the total of socio-democratic seats for a stratified random
sampling of selecting a sample of size, n = 40. Construct a 95%
confidence interval for the total.
c. Estimate the total of socio-democratic seats if a simple random
sampling scheme was used to select a sample of size, n= 40.
Construct a 95% interval for the total.
d. Which of the two methods used in (b) and (c) is more efficient?
Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12cbc67a-8cf2-4108-8001-fddbe80e5f23%2F94d441a9-81cc-49c3-b389-395f6cfd12cf%2F4y807j9_processed.png&w=3840&q=75)
Transcribed Image Text:3. To estimate the total of the number of socio-democratic seats (SDS), y in
a municipal council, the population was stratified into four strata using the
total number seats in the municipal council. Some information about these
strata is given in the following table.
Population
Sample
Number of
seats
Σν
k-1
31 - 40
41 - 50
51 - 70
71 - ...
44
756
13,784
72,223
44,529
24,137
89
1,647
9,735
8,294
5,294
168
3,383
441
1,545
617
56
250
102
16
a. Allocate a total sample of size, n= 40 using the proportional
allocation.
b. Estimate the total of socio-democratic seats for a stratified random
sampling of selecting a sample of size, n = 40. Construct a 95%
confidence interval for the total.
c. Estimate the total of socio-democratic seats if a simple random
sampling scheme was used to select a sample of size, n= 40.
Construct a 95% interval for the total.
d. Which of the two methods used in (b) and (c) is more efficient?
Why?
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