2. In the problem of estimating total hospitalization costs for kidney stone patients, suppose Muscat and...
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2. In the problem of estimating total hospitalization costs for kidney stone patients, suppose Muscat and Dhofar regions were selected as strata because they have very different incident rates for the disease, and the estimates for each region was needed separately. Also, this stratification into geographic regions simplified the sampling procedures. The sample data are summarized as follows: Muscat Dhofar n₁=260 n₂=150 Mean cost y₁=170 RO Mean cost y₂ =125 RO $₁=2525 =3050 n₁ n₂ 01 =745 C₁-10 RO 02=680 C2-12 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 N₁ and N₂, 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) Find the appropriate sample size n and stratum sample size n₁ and n₂ for estimating the population mean with a bound on the error of estimation equal to 50 RO, considering proportional allocation. 2. In the problem of estimating total hospitalization costs for kidney stone patients, suppose Muscat and Dhofar regions were selected as strata because they have very different incident rates for the disease, and the estimates for each region was needed separately. Also, this stratification into geographic regions simplified the sampling procedures. The sample data are summarized as follows: Muscat Dhofar n₁=260 n₂=150 Mean cost y₁=170 RO Mean cost y₂ =125 RO $₁=2525 =3050 n₁ n₂ 01 =745 C₁-10 RO 02=680 C2-12 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 N₁ and N₂, 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) Find the appropriate sample size n and stratum sample size n₁ and n₂ for estimating the population mean with a bound on the error of estimation equal to 50 RO, considering proportional allocation.
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