The sample data are summarized as follows: Muscat Dhofar n,=260 n=150 Mean cost =170 RO Mean cost Y: =125 RO y. =3050 ": -2525 o1 =745 0;=680 C,=12 RO C,=10 RO A previous study showed the number of kidney stone incidents in the Muscat to be 325 out of 100,000 population and the number in the Dhofar to be 320 out of 100,000. The population of the Muscat was 775,878, and the population of the Dhofar was 249,729, according to the 2010 census. a) Obtain the estimates of N, and N, , the numbers of kidney stone patients expected to be found in the Muscat and Dhofar regions. b) Obtain the average annual cost of hospitalization of the kidney patients of the two region combined with 95% confidence interval and interpret the results. c) Obtain the total annual hospitalization cost for kidney patients in the two region combined and place a bound on the error of estimation d) Is there any significant difference between average cost of hospitalization of the two regions? e) What information is needed to obtain the total hospitalization cost for kidney patients for entire Oman? f) Find the appropriate sample size n and stratum sample size n, and n, for estimating the population mean with a bound on the error of estimation equal to 50 RO, considering i) Optimum allocation, ii) Neyman allocation and, iii) proportional allocation.
The sample data are summarized as follows: Muscat Dhofar n,=260 n=150 Mean cost =170 RO Mean cost Y: =125 RO y. =3050 ": -2525 o1 =745 0;=680 C,=12 RO C,=10 RO A previous study showed the number of kidney stone incidents in the Muscat to be 325 out of 100,000 population and the number in the Dhofar to be 320 out of 100,000. The population of the Muscat was 775,878, and the population of the Dhofar was 249,729, according to the 2010 census. a) Obtain the estimates of N, and N, , the numbers of kidney stone patients expected to be found in the Muscat and Dhofar regions. b) Obtain the average annual cost of hospitalization of the kidney patients of the two region combined with 95% confidence interval and interpret the results. c) Obtain the total annual hospitalization cost for kidney patients in the two region combined and place a bound on the error of estimation d) Is there any significant difference between average cost of hospitalization of the two regions? e) What information is needed to obtain the total hospitalization cost for kidney patients for entire Oman? f) Find the appropriate sample size n and stratum sample size n, and n, for estimating the population mean with a bound on the error of estimation equal to 50 RO, considering i) Optimum allocation, ii) Neyman allocation and, iii) proportional allocation.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:The sample data are summarized as follows:
Muscat
Dhofar
n,=260
n=150
Mean cost=170 RO Mean cost : =125 RO
s
", =3050
n.
=2525
o1 =745
C,=10 RO
0,=680
C,=12 RO
A previous study showed the number of kidney stone incidents
in the Muscat
to be 325 out of 100,000 population and the number in the
Dhofar to be 320 out of
100,000. The population of the Muscat was 775,878, and the
population of the
Dhofar was 249,729, according to the 2010 census.
a) Obtain the estimates of N, and N, , the numbers of kidney
stone patients expected to be found in the Muscat and
Dhofar regions.
b) Obtain the average annual cost of hospitalization of the
kidney patients of the two region combined with 95%
confidence interval and interpret the results.
c) Obtain the total annual hospitalization cost for kidney
patients in the two region combined and place a bound on
the error of estimation
d) Is there any significant difference between average cost of
hospitalization of the two regions?
e) What information is needed to obtain the total
hospitalization cost for kidney patients for entire Oman?
f) Find the appropriate sample size n and stratum sample size
n, and n, for estimating the population mean with a bound
on the error of estimation equal to 50 RO, considering
i) Optimum allocation, ii) Neyman allocation and, iii)
proportional allocation.
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