1. A public agency is interested in learning more about the residents of retirem
ID: 3201459 • Letter: 1
Question
1. A public agency is interested in learning more about the residents of retirement homes in the province of Ontario. A not up-to-date list of 1000 retirement homes in Ontario is made available to the public agency, and a simple random sample of 10 homes is selected from it. A particular portion of the sample results is as follows:
(a) With respect to this sample survey, briefly describe what is the
i. target population
ii. sampling frame
iii. sampled population
iv. sampling unit
v. element
(b) Estimate the total number of residents in the 1000 retirement homes and place a bound on the error of estimation.
(c) Using the given sample results, determine how many of the 1000 retirement homes the public agency should sample in a future survey to estimte the total number of residents in the 1000 retirement homes with a bound on the error of estimation of magnitude B = 5000.
Sampled Home 1 2 3 4 5 6 7 8 9 10 No. of Residents 98 64 112 85 76 103 117 92 79 74Explanation / Answer
Answer:
Sampled Home
1
2
3
4
5
6
7
8
9
10
No. of Residents
98
64
112
85
76
103
117
92
79
74
Sample mean = (98+64+112+85+76+103+117+92+79+74)/10 = 90
Sample variance = 302.66
Sample standard deviation = 17.397 and based on 95% confidence level a 95% Confidence interval is: 77.55-102.4 (Using T interval for a population mean)
Sampled Home
1
2
3
4
5
6
7
8
9
10
No. of Residents
98
64
112
85
76
103
117
92
79
74
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