An assignment was given to four students attending a sample survey course. The problem was to estimate the average time per week devoted to study in Punjab Agricultural University (PAU) library by the students of this university. The university is running undergraduate, master's degree and doctoral programs. Number of students registered for the three programs is 1300, 450, and 250 respectively. Since the value of the study variable is likely to differ considerably with the program, the investigator divided the population of students into 3 strata: undergrađuate program (stratum I), master's program (stratum II), ảnd doctoral program (stratum III). First of the four students selected WOR simple random samples of sizes 20, 10, and 12 students from strata I, II, and III respectively, so that, the total sample is of size 42. The information about weekly time devoted in library is given in table 5.1. Table 5.1 Time (in hours) devoted to study in the university library during a week Stratum I Stratum II Stratum III 12 6. 10 24 10 14 20 15 4 4 3 3 11 14 6 1 13 11 11 16 13 18 2 7 19 20 8 3 10 2 3 Estimate the average time per week devoted to study by a student in PAU library. Also, build up the confidence interval for this average.
An assignment was given to four students attending a sample survey course. The problem was to estimate the average time per week devoted to study in Punjab Agricultural University (PAU) library by the students of this university. The university is running undergraduate, master's degree and doctoral programs. Number of students registered for the three programs is 1300, 450, and 250 respectively. Since the value of the study variable is likely to differ considerably with the program, the investigator divided the population of students into 3 strata: undergrađuate program (stratum I), master's program (stratum II), ảnd doctoral program (stratum III). First of the four students selected WOR simple random samples of sizes 20, 10, and 12 students from strata I, II, and III respectively, so that, the total sample is of size 42. The information about weekly time devoted in library is given in table 5.1. Table 5.1 Time (in hours) devoted to study in the university library during a week Stratum I Stratum II Stratum III 12 6. 10 24 10 14 20 15 4 4 3 3 11 14 6 1 13 11 11 16 13 18 2 7 19 20 8 3 10 2 3 Estimate the average time per week devoted to study by a student in PAU library. Also, build up the confidence interval for this average.
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Transcribed Image Text:An assignment was given to four students attending a sample survey course. The problem
was to estimate the average time per week devoted to study in Punjab Agricultural
University (PAU) library by the students of this university. The university is running
undergraduate, master's degree and doctoral programs. Number of students registered
for the three programs is 1300, 450, and 250 respectively. Since the value of the study
variable is likely to differ considerably with the program, the investigator divided the
population of students into 3 strata: undergraduate program (stratum I), master's
program (stratum II), ånd doctoral program (stratum III). First of the four students
selected WOR simple random samples of sizes 20, 10, and 12 students from strata I,
II, and III respectively, so that, the total sample is of size 42. The information about
weekly time devoted in library is given in table 5.1.
Table 5.1 Time (in hours) devoted to study in the university
library during a week
Stratum I
Stratum II
Stratum III
12
10
24
4
10
14
15
3
3
6.
11
20
14
6.
1
13
11
11
18
2
2
3
7
16
13
19
20
8
10
3
2
Estimate the average time per week devoted to study by a student in PAU library. Also,
build up the confidence interval for this average.
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