A management officer of Alley Condominium wants to estimate the number of children its residents have. The condominium has three towers. Due to time constraints, the officer plans to take a random sample of 60 residents. Table 4 shows the summary statistics of the collected data. Table 4: Summary statistics Tower A

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QUESTION 3
A management officer of Alley Condominium wants to estimate the number of children its
residents have. The condominium has three towers. Due to time constraints, the officer plans
to take a random sample of 60 residents. Table 4 shows the summary statistics of the
collected data.
Table 4: Summary statistics
Tower
A
в
Total residents
100
80
110
Sampled residents
20
15
25
Mean
35
30
40
Variance
4.6
4
5.2
a) Estimate the total number of children in the Alley Condominium. Hence, find a 99%
confidence interval of the total number of children in the Alley Condominium.
b) If the officer is dissatisfied with the first-time results, recommend the appropriate sample
size to perform the survey again if the number of observations for each stratum is equal. It
is assumed that a bound on the error of estimation is less than 100. Hence, identify the
stratum sample size for each tower.
Transcribed Image Text:QUESTION 3 A management officer of Alley Condominium wants to estimate the number of children its residents have. The condominium has three towers. Due to time constraints, the officer plans to take a random sample of 60 residents. Table 4 shows the summary statistics of the collected data. Table 4: Summary statistics Tower A в Total residents 100 80 110 Sampled residents 20 15 25 Mean 35 30 40 Variance 4.6 4 5.2 a) Estimate the total number of children in the Alley Condominium. Hence, find a 99% confidence interval of the total number of children in the Alley Condominium. b) If the officer is dissatisfied with the first-time results, recommend the appropriate sample size to perform the survey again if the number of observations for each stratum is equal. It is assumed that a bound on the error of estimation is less than 100. Hence, identify the stratum sample size for each tower.
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