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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON