5. Suppose in a city block, there are 200 households (HHs) of which 130 are Omani (O) and 70 expatriate (E). A random sample of 15 households was selected to estimate the medical expenses (in RO) per household per year. The following table provides the sample information. Household (HH) Nationality Medical expenses (RO) 1 200 E 350 3 250 4 150 5 E 250 200 7 E 500 8 300 450 10 E 400 11 E 100 12 80 13 350 14 E 450 15 120 O= Omani, E=Expatriate 1) Estimate the overall average medical expenses per household and obtain a 99% confidence interval for the estimate. Interpret the results. ) Estimate the total medical expense of all the HHs in the city block and place a bound on the error of estimation. :) How large the sample should be taken to estimate the average medical expense of the HHs in the city block with a bound of 50 RO? Use 120 as an approximation of population standard deviation. d) Estimate the proportion of expatriate household in the city and place a bound on the error of estimation. Interpret the results.
5. Suppose in a city block, there are 200 households (HHs) of which 130 are Omani (O) and 70 expatriate (E). A random sample of 15 households was selected to estimate the medical expenses (in RO) per household per year. The following table provides the sample information. Household (HH) Nationality Medical expenses (RO) 1 200 E 350 3 250 4 150 5 E 250 200 7 E 500 8 300 450 10 E 400 11 E 100 12 80 13 350 14 E 450 15 120 O= Omani, E=Expatriate 1) Estimate the overall average medical expenses per household and obtain a 99% confidence interval for the estimate. Interpret the results. ) Estimate the total medical expense of all the HHs in the city block and place a bound on the error of estimation. :) How large the sample should be taken to estimate the average medical expense of the HHs in the city block with a bound of 50 RO? Use 120 as an approximation of population standard deviation. d) Estimate the proportion of expatriate household in the city and place a bound on the error of estimation. Interpret the results.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:5. Suppose in a city block, there are 200 households (HHs) of which 130 are Omani (O) and 70
expatriate (E). A random sample of 15 households was selected to estimate the medical
expenses (in RO) per household per year. The following table provides the sample
information.
Household (HH)
Nationality
Medical expenses (RO)
1
200
E
350
3
250
4
150
E
250
200
7
E
500
8
300
9.
450
10
E
400
11
E
100
12
80
13
350
14
E
450
15
120
O= Omani, E=Expatriate
a) Estimate the overall average medical expenses per household and obtain a 99% confidence
interval for the estimate. Interpret the results.
b) Estimate the total medical expense of all the HHs in the city block and place a bound on the
error of estimation.
c) How large the sample should be taken to estimate the average medical expense of the HHs in
the city block with a bound of 50 RO? Use 120 as an approximation of population standard
deviation.
d) Estimate the proportion of expatriate household in the city and place a bound on the error
of estimation. Interpret the results.
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