Q.1 At the end of every school year, the state administers a reading test to a sample of 36 third graders. The school system has 20,000 third graders, half boys and half girls. The results from last year's test are shown in the table below. Stratum Boys Girls Mean score 80 70 Standard deviation 10.27 6.66 This year, the researchers plan to use a stratified sample, with one stratum consisting of boys and the other, girls. Use the results from last year to answer the following questions? • To maximize precision, how many sampled students should be boys and how many should be girls? . What is the mean reading achievement level in the population? Compute the confidence interval. . Find the margin of error.

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Q.1 At the end of every school year, the state administers a
reading test to a sample of 36 third graders. The school
system has 20,000 third graders, half boys and half girls.
The results from last year's test are shown in the table
below.
Stratum
Boys
Girls
Mean score
80
70
Standard deviation
10.27
6.66
This year, the researchers plan to use a stratified sample,
with one stratum consisting of boys and the other, girls. Use
the results from last year to answer the following questions?
. To maximize precision, how many sampled students should be
boys and how many should be girls?
. What is the mean reading achievement level in the population?
Compute the confidence interval.
. Find the margin of error.
Transcribed Image Text:Q.1 At the end of every school year, the state administers a reading test to a sample of 36 third graders. The school system has 20,000 third graders, half boys and half girls. The results from last year's test are shown in the table below. Stratum Boys Girls Mean score 80 70 Standard deviation 10.27 6.66 This year, the researchers plan to use a stratified sample, with one stratum consisting of boys and the other, girls. Use the results from last year to answer the following questions? . To maximize precision, how many sampled students should be boys and how many should be girls? . What is the mean reading achievement level in the population? Compute the confidence interval. . Find the margin of error.
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