Question
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.
Solutions
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orchestra answered 1 year agoRelated Solutions
Question 3: A sample of size 30 students is to be drawn from a population consisting...
Question 3:
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 student
| mean | sd.
College A |
200.
| 30 |
10
College B. | 100
| 60 |
40
Total
| 300
| 90 |
50
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