In: Statistics and Probability
A sample of size 30 students is to be drawn from a population
consisting of 300...
A sample of size 30 students is to be drawn from a population
consisting of 300 students belonging to two colleges A and B. the
mean and standard deviations of their marks are given below:
Strata
|
Total number of students Ni
|
Mean
|
Standard deviation σi
|
College A
|
200
|
30
|
10
|
College B
|
100
|
60
|
40
|
Total
|
300
|
90
|
50
|
- How would you draw the sample using proportional allocation
techniques? Hence, obtain the variance of the estimate of the
population mean and compare its efficiency with simple random
sampling without replacement (SRSWOR).
- Variance of the estimate of the population mean for simple
random sampling without replacement (SRSWOR).
- Variance of the estimate of the population mean for
proportional allocation
- 95% confidence interval of the population mean for proportional
allocation.