A reputed public school has 800 children. The school management has changed the school uniform twice in a year. A sociologist wishes to gauge parents' reaction to this decision of the management. The sociologist has 5 skilled investigators. He selected 5 subsamples of 8 students each, so that, the overall sample was of size 40. Each investigator interviewed the parents of the students falling in the sub- sample assigned to him, and gave scores from 1 to 10 depending on the severity of respondent's reaction to the management's decision. The scores thus recorded are presented in the following table: Subsample Scores 3 5 6. 8 4 9 10 5 3 4 7 8 2 8 3 5 2 4 4 4 5 4 3 5 5 3 6. 4 8 Assuming that the random starts for the subsamples were selected with replacement, estimate the average score for the parents of all the 800 students, and also build up the confidence interval for the true average score.

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A reputed public school has 800 children. The school management has changed
the school uniform twice in a year. A sociologist wishes to gauge parents' reaction
to this decision of the management. The sociologist has 5 skilled investigators. He
selected 5 subsamples of 8 students each, so that, the overall sample was of size
40. Each investigator interviewed the parents of the students falling in the sub-
sample assigned to him, and gave scores from 1 to 10 depending on the severity
of respondent's reaction to the management's decision. The scores thus recorded
are presented in the following table:
Subsample
Scores
3
5
6.
8
4
9
10
2
1
7
5
4
7
8
3
6
2
6
5
2
4
4
4
5
4
3
2
5
5
3
6
1
4 8
Assuming that the random starts for the subsamples were selected with
replacement, estimate the average score for the parents of all the 800 students,
and also build up the confidence interval for the true average score.
Transcribed Image Text:A reputed public school has 800 children. The school management has changed the school uniform twice in a year. A sociologist wishes to gauge parents' reaction to this decision of the management. The sociologist has 5 skilled investigators. He selected 5 subsamples of 8 students each, so that, the overall sample was of size 40. Each investigator interviewed the parents of the students falling in the sub- sample assigned to him, and gave scores from 1 to 10 depending on the severity of respondent's reaction to the management's decision. The scores thus recorded are presented in the following table: Subsample Scores 3 5 6. 8 4 9 10 2 1 7 5 4 7 8 3 6 2 6 5 2 4 4 4 5 4 3 2 5 5 3 6 1 4 8 Assuming that the random starts for the subsamples were selected with replacement, estimate the average score for the parents of all the 800 students, and also build up the confidence interval for the true average score.
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