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In a municipality, there are 300 pupils in compulsory school Year 9. Of these, 146 are boys and 154 boys. One now wants to appreciate

In a municipality, there are 300 pupils in compulsory school Year 9. Of these, 146 are boys and 154 boys. One now wants to appreciate students' reading comprehension by having a selection of students undergo a reading test. A strategic sample of 22 boys and 22 boys was drawn. The observed mean scores were 78 among the boys and 75 among the boys. The sample variances were 42 and 110, respectively.

a) Estimate the average point for reading comprehension among the students in Year 9 in the municipality. Infinity correction must be used.

b) It is planned to repeat the survey next year. Based on the above data and propose a sample allocation that can minimize the statistical margin of error with the same total sample size.

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